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131044012311 = 3271748921523
BaseRepresentation
bin111101000001011010…
…1001111000100010111
3110112020200102120021110
41322002311033010113
54121334231343221
6140111211550103
712316251504012
oct1720265170427
9415220376243
10131044012311
1150636a24023
122149245b333
13c4852818b4
1464b1dd2379
15361e83a776
hex1e82d4f117

131044012311 has 16 divisors (see below), whose sum is σ = 175401658880. Its totient is φ = 87024637440.

The previous prime is 131044012283. The next prime is 131044012349. The reversal of 131044012311 is 113210440131.

It is not a de Polignac number, because 131044012311 - 25 = 131044012279 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131044012391) 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 15 ways as a sum of consecutive naturals, for example, 6077796 + ... + 6099318.

It is an arithmetic number, because the mean of its divisors is an integer number (10962603680).

Almost surely, 2131044012311 is an apocalyptic number.

131044012311 is a deficient number, since it is larger than the sum of its proper divisors (44357646569).

131044012311 is a wasteful number, since it uses less digits than its factorization.

131044012311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29286.

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

Adding to 131044012311 its reverse (113210440131), we get a palindrome (244254452442).

It can be divided in two parts, 1310440 and 12311, that added together give a triangular number (1322751 = T1626).

The spelling of 131044012311 in words is "one hundred thirty-one billion, forty-four million, twelve thousand, three hundred eleven".

Divisors: 1 3 271 813 7489 21523 22467 64569 2029519 5832733 6088557 17498199 161185747 483557241 43681337437 131044012311