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202002202010100 = 223523980871691441
BaseRepresentation
bin101101111011100001001101…
…011111101010000111110100
3222111020012222202221121112010
4231323201031133222013310
5202434101002203310400
61553342310331124220
760356114606513232
oct5573411537520764
9874205882847463
10202002202010100
115940071a936998
121a7a54688a3670
138893958aa97bb
1437c4d5cb15952
15185481a534450
hexb7b84d7ea1f4

202002202010100 has 72 divisors (see below), whose sum is σ = 584461518193728. Its totient is φ = 53867086707200.

The previous prime is 202002202010087. The next prime is 202002202010101. The reversal of 202002202010100 is 1010202200202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202002202010101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118580380 + ... + 120271820.

It is an arithmetic number, because the mean of its divisors is an integer number (8117521086024).

Almost surely, 2202002202010100 is an apocalyptic number.

202002202010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202002202010100 is an abundant number, since it is smaller than the sum of its proper divisors (382459316183628).

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

202002202010100 is a wasteful number, since it uses less digits than its factorization.

202002202010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089545 (or 2089538 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 202002202010100 its reverse (1010202200202), we get a palindrome (203012404210302).

The spelling of 202002202010100 in words is "two hundred two trillion, two billion, two hundred two million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 398087 796174 1194261 1592348 1691441 1990435 2388522 3382882 3980870 4777044 5074323 5971305 6765764 7961740 8457205 9952175 10148646 11942610 16914410 19904350 20297292 23885220 25371615 29856525 33828820 39808700 42286025 50743230 59713050 84572050 101486460 119426100 126858075 169144100 253716150 507432300 673340673367 1346681346734 2020022020101 2693362693468 3366703366835 4040044040202 6733406733670 8080088080404 10100110100505 13466813467340 16833516834175 20200220201010 33667033668350 40400440402020 50500550502525 67334067336700 101001101005050 202002202010100