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131012211022993 = 378342661091183
BaseRepresentation
bin11101110010011110101000…
…010011001001110010010001
3122011212122102020121221201201
4131302132220103021302101
5114133001002010213433
61142350102345031201
736411214502351566
oct3562365023116221
9564778366557651
10131012211022993
1138820a6a706463
121283b064485501
13581452462bc01
14244d04c27486d
151022ddcd65a7d
hex7727a84c9c91

131012211022993 has 8 divisors (see below), whose sum is σ = 136174203059328. Its totient is φ = 125935541169264.

The previous prime is 131012211022961. The next prime is 131012211022999. The reversal of 131012211022993 is 399220112210131.

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 131012211022993 - 25 = 131012211022961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131012211022999) 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, 21330542521 + ... + 21330548662.

It is an arithmetic number, because the mean of its divisors is an integer number (17021775382416).

Almost surely, 2131012211022993 is an apocalyptic number.

It is an amenable number.

131012211022993 is a deficient number, since it is larger than the sum of its proper divisors (5161992036335).

131012211022993 is an equidigital number, since it uses as much as digits as its factorization.

131012211022993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42661091303.

The product of its (nonzero) digits is 11664, while the sum is 37.

The spelling of 131012211022993 in words is "one hundred thirty-one trillion, twelve billion, two hundred eleven million, twenty-two thousand, nine hundred ninety-three".

Divisors: 1 37 83 3071 42661091183 1578460373771 3540870568189 131012211022993