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202101020220100 = 225241132737146143
BaseRepresentation
bin101101111100111101001111…
…100001001101101011000100
3222111120200001120211210122211
4231330331033201031223010
5202442210342134020400
61553455532120233204
760366213453445651
oct5574751741155304
9874520046753584
10202101020220100
115943961a173741
121a80064690b804
1388a00767cc501
1437c9a54c26c28
1518571a0b2ddba
hexb7cf4f84dac4

202101020220100 has 72 divisors (see below), whose sum is σ = 449594342120448. Its totient is φ = 78809254867200.

The previous prime is 202101020220097. The next prime is 202101020220131. The reversal of 202101020220100 is 1022020101202.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13132372 + ... + 24013771.

It is an arithmetic number, because the mean of its divisors is an integer number (6244365862784).

Almost surely, 2202101020220100 is an apocalyptic number.

202101020220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202101020220100 is an abundant number, since it is smaller than the sum of its proper divisors (247493321900348).

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

202101020220100 is a wasteful number, since it uses less digits than its factorization.

202101020220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37147525 (or 37147518 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202101020220100 its reverse (1022020101202), we get a palindrome (203123040321302).

The spelling of 202101020220100 in words is "two hundred two trillion, one hundred one billion, twenty million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 1327 2050 2654 4100 5308 6635 13270 26540 33175 54407 66350 108814 132700 217628 272035 544070 1088140 1360175 2720350 5440700 37146143 74292286 148584572 185730715 371461430 742922860 928653575 1522991863 1857307150 3045983726 3714614300 6091967452 7614959315 15229918630 30459837260 38074796575 49292931761 76149593150 98585863522 152299186300 197171727044 246464658805 492929317610 985858635220 1232323294025 2021010202201 2464646588050 4042020404402 4929293176100 8084040808804 10105051011005 20210102022010 40420204044020 50525255055025 101050510110050 202101020220100