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131140205213130 = 23251457113391257
BaseRepresentation
bin11101110100010101110101…
…010110001111010111001010
3122012022212210101021111111100
4131310111311112033113022
5114142100120013310010
61142524551212442230
736423365352126021
oct3564256526172712
9565285711244440
10131140205213130
113887028102a993
121285ba25479376
135823611aa3aa9
1424553111b18b8
1510263cea6a2c0
hex77457558f5ca

131140205213130 has 24 divisors (see below), whose sum is σ = 340964533554372. Its totient is φ = 34970721390144.

The previous prime is 131140205213107. The next prime is 131140205213153. The reversal of 131140205213130 is 31312502041131.

131140205213130 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 4 + 0 + 2 + 0 + 521 + 3 + 130 = 666.

It is an interprime number because it is at equal distance from previous prime (131140205213107) and next prime (131140205213153).

It can be written as a sum of positive squares in 2 ways, for example, as 126307546027569 + 4832659185561 = 11238663^2 + 2198331^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131140205213094 and 131140205213103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 728556695539 + ... + 728556695718.

Almost surely, 2131140205213130 is an apocalyptic number.

131140205213130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131140205213130 is an abundant number, since it is smaller than the sum of its proper divisors (209824328341242).

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

131140205213130 is a wasteful number, since it uses less digits than its factorization.

131140205213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457113391270 (or 1457113391267 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 131140205213130 its reverse (31312502041131), we get a palindrome (162452707254261).

The spelling of 131140205213130 in words is "one hundred thirty-one trillion, one hundred forty billion, two hundred five million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1457113391257 2914226782514 4371340173771 7285566956285 8742680347542 13114020521313 14571133912570 21856700868855 26228041042626 43713401737710 65570102606565 131140205213130