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202022121011220 = 223251796539601967
BaseRepresentation
bin101101111011110011110000…
…110000100111100000010100
3222111022010101222001201012100
4231323303300300213200110
5202434412300434324340
61553355403044322100
760360421326313626
oct5573636060474024
9874263358051170
10202022121011220
1159409111672294
121a7a92a76a3330
1388957b17644b3
1437c5ccc354c16
1518550d4100830
hexb7bcf0c27814

202022121011220 has 144 divisors (see below), whose sum is σ = 617167645436160. Its totient is φ = 53489556772608.

The previous prime is 202022121011203. The next prime is 202022121011231. The reversal of 202022121011220 is 22110121220202.

It is a happy number.

202022121011220 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 221 + 210 + 11 + 220 = 666.

202022121011220 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 202022121011193 and 202022121011202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16238677 + ... + 25840643.

It is an arithmetic number, because the mean of its divisors is an integer number (4285886426640).

Almost surely, 2202022121011220 is an apocalyptic number.

202022121011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202022121011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308583822718080).

202022121011220 is an abundant number, since it is smaller than the sum of its proper divisors (415145524424940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

202022121011220 is a wasteful number, since it uses less digits than its factorization.

202022121011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9602814 (or 9602809 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202022121011220 its reverse (22110121220202), we get a palindrome (224132242231422).

The spelling of 202022121011220 in words is "two hundred two trillion, twenty-two billion, one hundred twenty-one million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 179 180 358 537 653 716 895 1074 1306 1611 1790 1959 2148 2612 2685 3222 3265 3580 3918 5370 5877 6444 6530 7836 8055 9795 10740 11754 13060 16110 19590 23508 29385 32220 39180 58770 116887 117540 233774 350661 467548 584435 701322 1051983 1168870 1402644 1753305 2103966 2337740 3506610 4207932 5259915 7013220 9601967 10519830 19203934 21039660 28805901 38407868 48009835 57611802 86417703 96019670 115223604 144029505 172835406 192039340 288059010 345670812 432088515 576118020 864177030 1718752093 1728354060 3437504186 5156256279 6270084451 6875008372 8593760465 10312512558 12540168902 15468768837 17187520930 18810253353 20625025116 25080337804 25781281395 30937537674 31350422255 34375041860 37620506706 51562562790 56430760059 61875075348 62700844510 75241013412 77343844185 94051266765 103125125580 112861520118 125401689020 154687688370 188102533530 225723040236 282153800295 309375376740 376205067060 564307600590 1122345116729 1128615201180 2244690233458 3367035350187 4489380466916 5611725583645 6734070700374 10101106050561 11223451167290 13468141400748 16835176750935 20202212101122 22446902334580 33670353501870 40404424202244 50505530252805 67340707003740 101011060505610 202022121011220