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202001220220100 = 225272327194614439
BaseRepresentation
bin101101111011100000010010…
…111110011011010011000100
3222111020010110100112111211112
4231323200102332123103010
5202434041444334020400
61553342025100024152
760356051355444560
oct5573402276332304
9874203410474745
10202001220220100
11594002667205a4
121a7a5233b32058
138893830577082
1437c4ca85886a0
1518547ae24d835
hexb7b812f9b4c4

202001220220100 has 144 divisors (see below), whose sum is σ = 522936396595200. Its totient is φ = 66221984315520.

The previous prime is 202001220220039. The next prime is 202001220220153. The reversal of 202001220220100 is 1022022100202.

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

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, 41468681 + ... + 46083119.

Almost surely, 2202001220220100 is an apocalyptic number.

202001220220100 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 202001220220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261468198297600).

202001220220100 is an abundant number, since it is smaller than the sum of its proper divisors (320935176375100).

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

202001220220100 is a wasteful number, since it uses less digits than its factorization.

202001220220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4617202 (or 4617195 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202001220220100 its reverse (1022022100202), we get a palindrome (203023242320302).

The spelling of 202001220220100 in words is "two hundred two trillion, one billion, two hundred twenty million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 1150 1610 2300 2719 3220 4025 5438 8050 10876 13595 16100 19033 27190 38066 54380 62537 67975 76132 95165 125074 135950 190330 250148 271900 312685 380660 437759 475825 625370 875518 951650 1250740 1563425 1751036 1903300 2188795 3126850 4377590 4614439 6253700 8755180 9228878 10943975 18457756 21887950 23072195 32301073 43775900 46144390 64602146 92288780 106132097 115360975 129204292 161505365 212264194 230721950 323010730 424528388 461443900 530660485 646021460 742924679 807526825 1061320970 1485849358 1615053650 2122641940 2653302425 2971698716 3230107300 3714623395 5306604850 7429246790 10613209700 12546659641 14858493580 18573116975 25093319282 37146233950 50186638564 62733298205 74292467900 87826617487 125466596410 175653234974 250933192820 288573171743 313666491025 351306469948 439133087435 577146343486 627332982050 878266174870 1154292686972 1254665964100 1442865858715 1756532349740 2020012202201 2195665437175 2885731717430 4040024404402 4391330874350 5771463434860 7214329293575 8080048808804 8782661748700 10100061011005 14428658587150 20200122022010 28857317174300 40400244044020 50500305055025 101000610110050 202001220220100