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131362514118260 = 22519259308377187
BaseRepresentation
bin11101110111100100110111…
…111111011010011001110100
3122020010010121110200222122022
4131313210313333122121310
5114204220412103241020
61143215034512052312
736445425362500535
oct3567446777323164
9566103543628568
10131362514118260
1138946590673767
1212896b28234098
13583b57cc40139
142461da008468c
15102c0917da625
hex777937fda674

131362514118260 has 72 divisors (see below), whose sum is σ = 296079105742560. Its totient is φ = 48935758891968.

The previous prime is 131362514118257. The next prime is 131362514118301. The reversal of 131362514118260 is 62811415263131.

It is a happy number.

It is a super-2 number, since 2×1313625141182602 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153762614 + ... + 154614573.

It is an arithmetic number, because the mean of its divisors is an integer number (4112209801980).

Almost surely, 2131362514118260 is an apocalyptic number.

131362514118260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131362514118260 is an abundant number, since it is smaller than the sum of its proper divisors (164716591624300).

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

131362514118260 is a wasteful number, since it uses less digits than its factorization.

131362514118260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308377293 (or 308377272 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The spelling of 131362514118260 in words is "one hundred thirty-one trillion, three hundred sixty-two billion, five hundred fourteen million, one hundred eighteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 59 76 95 118 190 236 295 361 380 590 722 1121 1180 1444 1805 2242 3610 4484 5605 7220 11210 21299 22420 42598 85196 106495 212990 425980 308377187 616754374 1233508748 1541885935 3083771870 5859166553 6167543740 11718333106 18194254033 23436666212 29295832765 36388508066 58591665530 72777016132 90971270165 111324164507 117183331060 181942540330 222648329014 345690826627 363885080660 445296658028 556620822535 691381653254 1113241645070 1382763306508 1728454133135 2226483290140 3456908266270 6568125705913 6913816532540 13136251411826 26272502823652 32840628529565 65681257059130 131362514118260