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131140135233252 = 22331771427088907
BaseRepresentation
bin11101110100010101110001…
…001011010010011011100100
3122012022212121111121011011000
4131310111301023102123210
5114142044444104431002
61142524540232513300
736423363542245035
oct3564256113223344
9565285544534130
10131140135233252
1138870245582a82
121285ba05b4b830
135823600441492
142455305b96a8c
1510263c884561c
hex7745712d26e4

131140135233252 has 48 divisors (see below), whose sum is σ = 359992528096320. Its totient is φ = 41142003209856.

The previous prime is 131140135233241. The next prime is 131140135233271. The reversal of 131140135233252 is 252332531041131.

131140135233252 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 40 + 13 + 523 + 32 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35713542618 + ... + 35713546289.

It is an arithmetic number, because the mean of its divisors is an integer number (7499844335340).

Almost surely, 2131140135233252 is an apocalyptic number.

131140135233252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131140135233252 is an abundant number, since it is smaller than the sum of its proper divisors (228852392863068).

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

131140135233252 is a wasteful number, since it uses less digits than its factorization.

131140135233252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71427088937 (or 71427088929 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 131140135233252 its reverse (252332531041131), we get a palindrome (383472666274383).

The spelling of 131140135233252 in words is "one hundred thirty-one trillion, one hundred forty billion, one hundred thirty-five million, two hundred thirty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 71427088907 142854177814 214281266721 285708355628 428562533442 642843800163 857125066884 1214260511419 1285687600326 1928531400489 2428521022838 2571375200652 3642781534257 3857062800978 4857042045676 7285563068514 7714125601956 10928344602771 14571126137028 21856689205542 32785033808313 43713378411084 65570067616626 131140135233252