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131141111214321 = 33132011185788861
BaseRepresentation
bin11101110100010110101011…
…010110010111000011110001
3122012022222010112002010111000
4131310112223112113003301
5114142103443432324241
61142525221135312213
736423426663040635
oct3564265326270361
9565288115063430
10131141111214321
11388706a6490aaa
121286003897b669
1358237276bbb80
142455399650dc5
15102643437eeb6
hex7745ab5970f1

131141111214321 has 32 divisors (see below), whose sum is σ = 209332026592640. Its totient is φ = 80662091457600.

The previous prime is 131141111214313. The next prime is 131141111214427. The reversal of 131141111214321 is 123412111141131.

131141111214321 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 411 + 1 + 1 + 214 + 32 + 1 = 666.

It is not a de Polignac number, because 131141111214321 - 23 = 131141111214313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131141111284321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92188570 + ... + 93600291.

It is an arithmetic number, because the mean of its divisors is an integer number (6541625831020).

Almost surely, 2131141111214321 is an apocalyptic number.

It is an amenable number.

131141111214321 is a deficient number, since it is larger than the sum of its proper divisors (78190915378319).

131141111214321 is a wasteful number, since it uses less digits than its factorization.

131141111214321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185790894 (or 185790888 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

Adding to 131141111214321 its reverse (123412111141131), we get a palindrome (254553222355452).

The spelling of 131141111214321 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred eleven million, two hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 9 13 27 39 117 351 2011 6033 18099 26143 54297 78429 235287 705861 185788861 557366583 1672099749 2415255193 5016299247 7245765579 21737296737 65211890211 373621399471 1120864198413 3362592595239 4857078193123 10087777785717 14571234579369 43713703738107 131141111214321