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131141324323041 = 3292774354333401
BaseRepresentation
bin11101110100010110111000…
…000011010011100011100001
3122012022222200101002011200120
4131310112320003103203201
5114142104413011314131
61142525254231110453
736423435161323104
oct3564267003234341
9565288611064616
10131141324323041
11388707a580780a
1212860098212429
13582375c8b59c6
1424553b9a8673b
151026447e28496
hex7745b80d38e1

131141324323041 has 16 divisors (see below), whose sum is σ = 180891108610560. Its totient is φ = 84409762236800.

The previous prime is 131141324323027. The next prime is 131141324323063. The reversal of 131141324323041 is 140323423141131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 131141324323041 - 234 = 131124144453857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131141324322993 and 131141324323011.

It is not an unprimeable number, because it can be changed into a prime (131141324323001) 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 15 ways as a sum of consecutive naturals, for example, 24753060 + ... + 29580341.

It is an arithmetic number, because the mean of its divisors is an integer number (11305694288160).

Almost surely, 2131141324323041 is an apocalyptic number.

It is an amenable number.

131141324323041 is a deficient number, since it is larger than the sum of its proper divisors (49749784287519).

131141324323041 is a wasteful number, since it uses less digits than its factorization.

131141324323041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54361176.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 131141324323041 its reverse (140323423141131), we get a palindrome (271464747464172).

The spelling of 131141324323041 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-four million, three hundred twenty-three thousand, forty-one".

Divisors: 1 3 29 87 27743 83229 804547 2413641 54333401 163000203 1575668629 4727005887 1507371543943 4522114631829 43713774774347 131141324323041