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202102131132100 = 225225764712154399
BaseRepresentation
bin101101111100111110010001…
…101111000000011011000100
3222111120202221000012222102201
4231330332101233000123010
5202442220131032211400
61553500234243044244
760366253133160313
oct5574762157003304
9874522830188381
10202102131132100
115943a03a261331
121a8008b6970684
1388a01c2a00ba4
1437c9b1c5a627a
15185721841d06a
hexb7cf91bc06c4

202102131132100 has 72 divisors (see below), whose sum is σ = 440948602483200. Its totient is φ = 80401828945920.

The previous prime is 202102131132089. The next prime is 202102131132119. The reversal of 202102131132100 is 1231131201202.

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, 10550701 + ... + 22705099.

It is an arithmetic number, because the mean of its divisors is an integer number (6124286145600).

Almost surely, 2202102131132100 is an apocalyptic number.

202102131132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202102131132100 is an abundant number, since it is smaller than the sum of its proper divisors (238846471351100).

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

202102131132100 is a wasteful number, since it uses less digits than its factorization.

202102131132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12155317 (or 12155310 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 202102131132100 its reverse (1231131201202), we get a palindrome (203333262333302).

The spelling of 202102131132100 in words is "two hundred two trillion, one hundred two billion, one hundred thirty-one million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 257 514 647 1028 1285 1294 2570 2588 3235 5140 6425 6470 12850 12940 16175 25700 32350 64700 166279 332558 665116 831395 1662790 3325580 4156975 8313950 12154399 16627900 24308798 48617596 60771995 121543990 243087980 303859975 607719950 1215439900 3123680543 6247361086 7863896153 12494722172 15618402715 15727792306 31236805430 31455584612 39319480765 62473610860 78092013575 78638961530 156184027150 157277923060 196597403825 312368054300 393194807650 786389615300 2021021311321 4042042622642 8084085245284 10105106556605 20210213113210 40420426226420 50525532783025 101051065566050 202102131132100