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131153145020145 = 335971504777927
BaseRepresentation
bin11101110100100001111000…
…100111101011111011110001
3122012101010012011210210201000
4131310201320213223323301
5114142303120111121040
61142534531213432213
736424334124513633
oct3564417047537361
9565333164723630
10131153145020145
1138875811232476
1212862436a9b669
1358248c485ba31
142455bbb94ca53
1510268daa7c130
hex7748789ebef1

131153145020145 has 16 divisors (see below), whose sum is σ = 233161146702720. Its totient is φ = 69948344010672.

The previous prime is 131153145020111. The next prime is 131153145020153. The reversal of 131153145020145 is 541020541351131.

131153145020145 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 5 + 3 + 1 + 4 + 502 + 0 + 145 = 666.

It is not a de Polignac number, because 131153145020145 - 28 = 131153145019889 is a prime.

It is a super-2 number, since 2×1311531450201452 (a number of 29 digits) contains 22 as substring.

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, 485752388829 + ... + 485752389098.

It is an arithmetic number, because the mean of its divisors is an integer number (14572571668920).

Almost surely, 2131153145020145 is an apocalyptic number.

131153145020145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131153145020145 is a deficient number, since it is larger than the sum of its proper divisors (102008001682575).

131153145020145 is an equidigital number, since it uses as much as digits as its factorization.

131153145020145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971504777941 (or 971504777935 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 131153145020145 its reverse (541020541351131), we get a palindrome (672173686371276).

The spelling of 131153145020145 in words is "one hundred thirty-one trillion, one hundred fifty-three billion, one hundred forty-five million, twenty thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 971504777927 2914514333781 4857523889635 8743543001343 14572571668905 26230629004029 43717715006715 131153145020145