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131141324000001 = 376244824952381
BaseRepresentation
bin11101110100010110111000…
…000010000100101100000001
3122012022222200100110202120010
4131310112320002010230001
5114142104412421000001
61142525254220135133
736423435155506230
oct3564267002045401
9565288610422503
10131141324000001
11388707a5607037
12128600980974a9
13582375c801963
1424553b9a00b17
151026447db28d6
hex7745b8084b01

131141324000001 has 8 divisors (see below), whose sum is σ = 199834398476224. Its totient is φ = 74937899428560.

The previous prime is 131141323999883. The next prime is 131141324000041. The reversal of 131141324000001 is 100000423141131.

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

It is not a de Polignac number, because 131141324000001 - 210 = 131141323998977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 6244824952381 = 131141324000001 / (1 + 3 + 1 + 1 + 4 + 1 + 3 + 2 + 4 + 0 + 0 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131141324000041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3122412476170 + ... + 3122412476211.

It is an arithmetic number, because the mean of its divisors is an integer number (24979299809528).

Almost surely, 2131141324000001 is an apocalyptic number.

It is an amenable number.

131141324000001 is a deficient number, since it is larger than the sum of its proper divisors (68693074476223).

131141324000001 is an equidigital number, since it uses as much as digits as its factorization.

131141324000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6244824952391.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 131141324000001 its reverse (100000423141131), we get a palindrome (231141747141132).

The spelling of 131141324000001 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-four million, one", and thus it is an aban number.

Divisors: 1 3 7 21 6244824952381 18734474857143 43713774666667 131141324000001