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232313112031 = 72111328330727
BaseRepresentation
bin1101100001011011110…
…0001100010111011111
3211012122022002212001111
43120112330030113133
512301234124041111
6254420112122451
722532635604500
oct3302674142737
9735568085044
10232313112031
118a583771570
1239035236427
1318ba399a600
14b35b80cba7
15609a1aea21
hex3616f0c5df

232313112031 has 72 divisors (see below), whose sum is σ = 323087958144. Its totient is φ = 165079736640.

The previous prime is 232313112023. The next prime is 232313112049. The reversal of 232313112031 is 130211313232.

It is not a de Polignac number, because 232313112031 - 23 = 232313112023 is a prime.

It is a super-2 number, since 2×2323131120312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232313111993 and 232313112011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232313112091) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7545190 + ... + 7575916.

It is an arithmetic number, because the mean of its divisors is an integer number (4487332752).

Almost surely, 2232313112031 is an apocalyptic number.

232313112031 is a deficient number, since it is larger than the sum of its proper divisors (90774846113).

232313112031 is a wasteful number, since it uses less digits than its factorization.

232313112031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30861 (or 30841 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 232313112031 its reverse (130211313232), we get a palindrome (362524425263).

The spelling of 232313112031 in words is "two hundred thirty-two billion, three hundred thirteen million, one hundred twelve thousand, thirty-one".

Divisors: 1 7 11 13 49 77 83 91 143 169 539 581 637 913 1001 1079 1183 1859 4067 6391 7007 7553 8281 11869 13013 14027 30727 44737 52871 83083 91091 98189 154297 215089 337997 399451 581581 687323 1080079 1505623 2365979 2550341 2796157 4393961 5192863 7560553 16561853 17852387 19573099 28053751 30757727 33154433 36350041 57121493 124966709 196376257 215304089 232081031 254450287 364698763 399850451 431007629 1374633799 1624567217 2552891341 2798953157 3017053403 4741083919 17870239387 21119373821 33187587433 232313112031