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131331212311 = 13194779891609
BaseRepresentation
bin111101001001111110…
…0110100010000010111
3110112222200211211121111
41322103330310100113
54122431242243221
6140155511355451
712326336612545
oct1722374642027
9415880754544
10131331212311
11507740556a2
1221552682b87
13c4cc91a520
1464dc1d2d95
153639b6bbe1
hex1e93f34417

131331212311 has 64 divisors (see below), whose sum is σ = 155796480000. Its totient is φ = 109666732032.

The previous prime is 131331212291. The next prime is 131331212321. The reversal of 131331212311 is 113212133131.

It is not a de Polignac number, because 131331212311 - 25 = 131331212279 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 (131331212321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81622075 + ... + 81623683.

It is an arithmetic number, because the mean of its divisors is an integer number (2434320000).

Almost surely, 2131331212311 is an apocalyptic number.

131331212311 is a deficient number, since it is larger than the sum of its proper divisors (24465267689).

131331212311 is a wasteful number, since it uses less digits than its factorization.

131331212311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856.

The product of its digits is 324, while the sum is 22.

Adding to 131331212311 its reverse (113212133131), we get a palindrome (244543345442).

The spelling of 131331212311 in words is "one hundred thirty-one billion, three hundred thirty-one million, two hundred twelve thousand, three hundred eleven".

Divisors: 1 13 19 47 79 89 247 611 893 1027 1157 1501 1609 1691 3713 4183 7031 11609 19513 20917 21983 30571 48269 54379 70547 75623 79477 91403 127111 133589 143201 330457 397423 917111 983099 1033201 1436837 1652443 1736657 1861613 2415109 2720819 4295941 5974217 6278683 6730447 11312879 18678881 31396417 35370647 77664821 81622879 87495811 113510123 127878493 147067427 214944701 531705313 1475631599 1662420409 2794281113 6912169069 10102400947 131331212311