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31321122320 = 2451759390343
BaseRepresentation
bin11101001010111000…
…100110011000010000
32222211211012212111102
4131022320212120100
51003121201403240
622215544203532
72156111101265
oct351270463020
988754185442
1031321122320
1112312a58864
1260a14695a8
132c51cb7297
141731aa726c
15c34adc815
hex74ae26610

31321122320 has 80 divisors (see below), whose sum is σ = 78412302720. Its totient is φ = 11591596032.

The previous prime is 31321122311. The next prime is 31321122359. The reversal of 31321122320 is 2322112313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 31321122292 and 31321122301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114932 + ... + 275411.

It is an arithmetic number, because the mean of its divisors is an integer number (980153784).

Almost surely, 231321122320 is an apocalyptic number.

It is an amenable number.

31321122320 is an abundant number, since it is smaller than the sum of its proper divisors (47091180400).

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

31321122320 is a wasteful number, since it uses less digits than its factorization.

31321122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390432 (or 390426 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 31321122320 its reverse (2322112313), we get a palindrome (33643234633).

The spelling of 31321122320 in words is "thirty-one billion, three hundred twenty-one million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 59 68 80 85 118 136 170 236 272 295 340 472 590 680 944 1003 1180 1360 2006 2360 4012 4720 5015 8024 10030 16048 20060 40120 80240 390343 780686 1561372 1951715 3122744 3903430 6245488 6635831 7806860 13271662 15613720 23030237 26543324 31227440 33179155 46060474 53086648 66358310 92120948 106173296 115151185 132716620 184241896 230302370 265433240 368483792 391514029 460604740 530866480 783028058 921209480 1566056116 1842418960 1957570145 3132112232 3915140290 6264224464 7830280580 15660561160 31321122320