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202111001011220 = 225783144231205947
BaseRepresentation
bin101101111101000110100010…
…011010111010010000010100
3222111121121211011110112011012
4231331012202122322100110
5202442341312224324340
61553504302335231352
760400016005665230
oct5575064232722024
9874547734415135
10202111001011220
1159442881058844
121a802571378558
1388a0ca7522682
1437ca3205c95c0
151857586e95565
hexb7d1a26ba414

202111001011220 has 96 divisors (see below), whose sum is σ = 490945019701248. Its totient is φ = 68455515042432.

The previous prime is 202111001011159. The next prime is 202111001011291. The reversal of 202111001011220 is 22110100111202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 202111001011195 and 202111001011204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166992287 + ... + 168198233.

It is an arithmetic number, because the mean of its divisors is an integer number (5114010621888).

Almost surely, 2202111001011220 is an apocalyptic number.

202111001011220 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 202111001011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245472509850624).

202111001011220 is an abundant number, since it is smaller than the sum of its proper divisors (288834018690028).

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

202111001011220 is a wasteful number, since it uses less digits than its factorization.

202111001011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220469 (or 1220467 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 202111001011220 its reverse (22110100111202), we get a palindrome (224221101122422).

The spelling of 202111001011220 in words is "two hundred two trillion, one hundred eleven billion, one million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1162 1660 2324 2905 5810 11620 14423 28846 57692 72115 100961 144230 201922 288460 403844 504805 1009610 1197109 1205947 2019220 2394218 2411894 4788436 4823788 5985545 6029735 8379763 8441629 11971090 12059470 16759526 16883258 23942180 24118940 33519052 33766516 41898815 42208145 83797630 84416290 100093601 167595260 168832580 200187202 400374404 500468005 700655207 1000936010 1401310414 2001872020 2802620828 3503276035 7006552070 14013104140 17393373581 34786747162 69573494324 86966867905 121753615067 173933735810 243507230134 347867471620 487014460268 608768075335 1217536150670 1443650007223 2435072301340 2887300014446 5774600028892 7218250036115 10105550050561 14436500072230 20211100101122 28873000144460 40422200202244 50527750252805 101055500505610 202111001011220