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31131013320 = 23325117861367
BaseRepresentation
bin11100111111100011…
…011001000011001000
32222100120111022222100
4130333203121003020
51002224014411240
622145033353400
72151312150531
oct347743310310
988316438870
1031131013320
1112225711090
126049868860
132c217b4054
14171473b688
15c23088e30
hex73f8d90c8

31131013320 has 96 divisors (see below), whose sum is σ = 110373606720. Its totient is φ = 7546911360.

The previous prime is 31131013307. The next prime is 31131013339. The reversal of 31131013320 is 2331013113.

It is a happy number.

31131013320 is a `hidden beast` number, since 31 + 1 + 310 + 1 + 3 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31131013293 and 31131013302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3926724 + ... + 3934643.

It is an arithmetic number, because the mean of its divisors is an integer number (1149725070).

Almost surely, 231131013320 is an apocalyptic number.

31131013320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31131013320 is an abundant number, since it is smaller than the sum of its proper divisors (79242593400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31131013320 is a wasteful number, since it uses less digits than its factorization.

31131013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7861395 (or 7861388 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31131013320 its reverse (2331013113), we get a palindrome (33462026433).

The spelling of 31131013320 in words is "thirty-one billion, one hundred thirty-one million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 7861367 15722734 23584101 31445468 39306835 47168202 62890936 70752303 78613670 86475037 94336404 117920505 141504606 157227340 172950074 188672808 235841010 259425111 283009212 314454680 345900148 353761515 432375185 471682020 518850222 566018424 691800296 707523030 778275333 864750370 943364040 1037700444 1297125555 1415046060 1556550666 1729500740 2075400888 2594251110 2830092120 3113101332 3459001480 3891376665 5188502220 6226202664 7782753330 10377004440 15565506660 31131013320