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131131110311 = 733254970183
BaseRepresentation
bin111101000100000000…
…1011111001110100111
3110112110202022121021022
41322020001133032213
54122024031012221
6140124002441355
712321360022025
oct1721001371647
9415422277238
10131131110311
1150681103043
12214b766325b
13c49a328986
1464bd7c5715
1536272e24ab
hex1e8805f3a7

131131110311 has 8 divisors (see below), whose sum is σ = 131363392800. Its totient is φ = 130898974752.

The previous prime is 131131110307. The next prime is 131131110323. The reversal of 131131110311 is 113011131131.

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 131131110311 - 22 = 131131110307 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131131110311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131131110301) 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, 1833326 + ... + 1903508.

It is an arithmetic number, because the mean of its divisors is an integer number (16420424100).

Almost surely, 2131131110311 is an apocalyptic number.

131131110311 is a deficient number, since it is larger than the sum of its proper divisors (232282489).

131131110311 is an equidigital number, since it uses as much as digits as its factorization.

131131110311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73465.

The product of its (nonzero) digits is 27, while the sum is 17.

Adding to 131131110311 its reverse (113011131131), we get a palindrome (244142241442).

The spelling of 131131110311 in words is "one hundred thirty-one billion, one hundred thirty-one million, one hundred ten thousand, three hundred eleven".

Divisors: 1 733 2549 70183 1868417 51444139 178896467 131131110311