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131533005113 = 1974561146389
BaseRepresentation
bin111101001111111111…
…0100110000100111001
3110120111202112222021222
41322133332212010321
54123334422130423
6140231520441425
712334340045006
oct1723776460471
9416452488258
10131533005113
1150867a52604
12215aa179275
13c532681853
14651ad208ad
15364c72c3c8
hex1e9ffa6139

131533005113 has 8 divisors (see below), whose sum is σ = 132230573640. Its totient is φ = 130835738880.

The previous prime is 131533005049. The next prime is 131533005139. The reversal of 131533005113 is 311500335131.

It can be written as a sum of positive squares in 4 ways, for example, as 49698676624 + 81834328489 = 222932^2 + 286067^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131533005113 - 26 = 131533005049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131533005173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 825323 + ... + 971711.

It is an arithmetic number, because the mean of its divisors is an integer number (16528821705).

Almost surely, 2131533005113 is an apocalyptic number.

It is an amenable number.

131533005113 is a deficient number, since it is larger than the sum of its proper divisors (697568527).

131533005113 is a wasteful number, since it uses less digits than its factorization.

131533005113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151147.

The product of its (nonzero) digits is 2025, while the sum is 26.

The spelling of 131533005113 in words is "one hundred thirty-one billion, five hundred thirty-three million, five thousand, one hundred thirteen".

Divisors: 1 197 4561 146389 898517 28838633 667680229 131533005113