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131351344252300 = 22521779978044261
BaseRepresentation
bin11101110111011010011110…
…001101110000010110001100
3122020002001210000122000010001
4131313122132031300112030
5114204030023112033200
61143205550255054044
736444551521264624
oct3567323615602614
9566061700560101
10131351344252300
1138941879565087
121289492b511324
13583a4bca7c4b3
1424616207d7884
15102bb3ad9576a
hex77769e37058c

131351344252300 has 72 divisors (see below), whose sum is σ = 305619270989760. Its totient is φ = 48823969459200.

The previous prime is 131351344252259. The next prime is 131351344252327. The reversal of 131351344252300 is 3252443153131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131351344252300.

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, 488887831 + ... + 489156430.

It is an arithmetic number, because the mean of its divisors is an integer number (4244712097080).

Almost surely, 2131351344252300 is an apocalyptic number.

131351344252300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131351344252300 is an abundant number, since it is smaller than the sum of its proper divisors (174267926737460).

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

131351344252300 is a wasteful number, since it uses less digits than its factorization.

131351344252300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978044371 (or 978044364 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 131351344252300 in words is "one hundred thirty-one trillion, three hundred fifty-one billion, three hundred forty-four million, two hundred fifty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 79 85 100 158 170 316 340 395 425 790 850 1343 1580 1700 1975 2686 3950 5372 6715 7900 13430 26860 33575 67150 134300 978044261 1956088522 3912177044 4890221305 9780442610 16626752437 19560885220 24451106525 33253504874 48902213050 66507009748 77265496619 83133762185 97804426100 154530993238 166267524370 309061986476 332535048740 386327483095 415668810925 772654966190 831337621850 1313513442523 1545309932380 1662675243700 1931637415475 2627026885046 3863274830950 5254053770092 6567567212615 7726549661900 13135134425230 26270268850460 32837836063075 65675672126150 131351344252300