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131132311233 = 372111073112437
BaseRepresentation
bin111101000100000011…
…0000100011011000001
3110112110211120121121220
41322020012010123001
54122024332424413
6140124044305253
712321403153200
oct1721006043301
9415424517556
10131132311233
1150681853340
12214b7b42229
13c49a659491
1464bda19237
15362747d223
hex1e881846c1

131132311233 has 96 divisors (see below), whose sum is σ = 224764720128. Its totient is φ = 67239446400.

The previous prime is 131132311217. The next prime is 131132311283. The reversal of 131132311233 is 332113231131.

It is not a de Polignac number, because 131132311233 - 24 = 131132311217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131132311283) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53807691 + ... + 53810127.

It is an arithmetic number, because the mean of its divisors is an integer number (2341299168).

Almost surely, 2131132311233 is an apocalyptic number.

It is an amenable number.

131132311233 is a deficient number, since it is larger than the sum of its proper divisors (93632408895).

131132311233 is a wasteful number, since it uses less digits than its factorization.

131132311233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2876 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

Adding to 131132311233 its reverse (332113231131), we get a palindrome (463245542364).

The spelling of 131132311233 in words is "one hundred thirty-one billion, one hundred thirty-two million, three hundred eleven thousand, two hundred thirty-three".

Divisors: 1 3 7 11 21 33 49 77 107 147 231 311 321 539 749 933 1177 1617 2177 2247 2437 3421 3531 5243 6531 7311 8239 10263 15239 15729 17059 23947 24717 26807 33277 45717 51177 57673 71841 80421 99831 119413 167629 173019 187649 232939 260759 358239 366047 502887 562947 698817 757907 782277 1098141 1313543 1630573 1825313 2273721 2562329 2868349 3940629 4891719 5305349 5475939 7686987 8336977 8605047 12777191 15916047 17936303 20078443 25010931 37137443 38331573 53808909 58358839 60235329 81096049 111412329 140549101 175076517 243288147 408511873 421647303 567672343 892056539 1225535619 1703017029 2676169617 3973706401 6244395773 11921119203 18733187319 43710770411 131132311233