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131134210201431 = 334856822600053
BaseRepresentation
bin11101110100010000010000…
…000001000101011101010111
3122012022022022120121100111000
4131310100100001011131113
5114142000330302421211
61142522120254514343
736423063655304553
oct3564202001053527
9565268276540430
10131134210201431
1138868784aa6968
121285a8318059b3
135822b97a636a8
142454d02d00863
15102617d5ba656
hex774410045757

131134210201431 has 8 divisors (see below), whose sum is σ = 194272904002160. Its totient is φ = 87422806800936.

The previous prime is 131134210201429. The next prime is 131134210201457. The reversal of 131134210201431 is 134102012431131.

131134210201431 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 3 + 4 + 21 + 0 + 201 + 431 = 666.

It is not a de Polignac number, because 131134210201431 - 21 = 131134210201429 is a prime.

It is a super-2 number, since 2×1311342102014312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 4856822600053 = 131134210201431 / (1 + 3 + 1 + 1 + 3 + 4 + 2 + 1 + 0 + 2 + 0 + 1 + 4 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131134210201395 and 131134210201404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131134210205431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2428411300000 + ... + 2428411300053.

It is an arithmetic number, because the mean of its divisors is an integer number (24284113000270).

Almost surely, 2131134210201431 is an apocalyptic number.

131134210201431 is a deficient number, since it is larger than the sum of its proper divisors (63138693800729).

131134210201431 is an equidigital number, since it uses as much as digits as its factorization.

131134210201431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4856822600062 (or 4856822600056 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131134210201431 its reverse (134102012431131), we get a palindrome (265236222632562).

The spelling of 131134210201431 in words is "one hundred thirty-one trillion, one hundred thirty-four billion, two hundred ten million, two hundred one thousand, four hundred thirty-one".

Divisors: 1 3 9 27 4856822600053 14570467800159 43711403400477 131134210201431