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31331124 = 22341159149
BaseRepresentation
bin111011110000…
…1001100110100
32011221210020000
41313201030310
531010043444
63035311300
7530211246
oct167411464
964853200
1031331124
111675a5a0
12a5ab530
13664cb36
144238096
152b3d469
hex1de1334

31331124 has 120 divisors (see below), whose sum is σ = 91476000. Its totient is φ = 9270720.

The previous prime is 31331117. The next prime is 31331137. The reversal of 31331124 is 42113313.

It is a super-2 number, since 2×313311242 = 1963278662206752, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 31331097 and 31331106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 210202 + ... + 210350.

It is an arithmetic number, because the mean of its divisors is an integer number (762300).

Almost surely, 231331124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31331124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45738000).

31331124 is an abundant number, since it is smaller than the sum of its proper divisors (60144876).

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

31331124 is a wasteful number, since it uses less digits than its factorization.

31331124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 224 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 31331124 is about 5597.4211919419. The cubic root of 31331124 is about 315.2525865220.

Adding to 31331124 its reverse (42113313), we get a palindrome (73444437).

The spelling of 31331124 in words is "thirty-one million, three hundred thirty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 59 66 81 99 108 118 132 149 162 177 198 236 297 298 324 354 396 447 531 594 596 649 708 891 894 1062 1188 1298 1341 1593 1639 1782 1788 1947 2124 2596 2682 3186 3278 3564 3894 4023 4779 4917 5364 5841 6372 6556 7788 8046 8791 9558 9834 11682 12069 14751 16092 17523 17582 19116 19668 23364 24138 26373 29502 35046 35164 44253 48276 52569 52746 59004 70092 79119 88506 96701 105138 105492 132759 158238 177012 193402 210276 237357 265518 290103 316476 386804 474714 531036 580206 712071 870309 949428 1160412 1424142 1740618 2610927 2848284 3481236 5221854 7832781 10443708 15665562 31331124