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31331412 = 223271011231
BaseRepresentation
bin111011110000…
…1010001010100
32011221210121200
41313201101110
531010101122
63035312500
7530212140
oct167412124
964853550
1031331412
111675a832
12a5ab730
13664ccc8
144238220
152b3d5ac
hex1de1454

31331412 has 72 divisors (see below), whose sum is σ = 91483392. Its totient is φ = 8856000.

The previous prime is 31331407. The next prime is 31331429. The reversal of 31331412 is 21413313.

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 congruent number.

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, 24837 + ... + 26067.

It is a self-describing number.

Almost surely, 231331412 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 31331412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45741696).

31331412 is an abundant number, since it is smaller than the sum of its proper divisors (60151980).

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

31331412 is a wasteful number, since it uses less digits than its factorization.

31331412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1344 counting only the distinct ones).

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

The square root of 31331412 is about 5597.4469180154. The cubic root of 31331412 is about 315.2535524674.

Adding to 31331412 its reverse (21413313), we get a palindrome (52744725).

The spelling of 31331412 in words is "thirty-one million, three hundred thirty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 101 126 202 252 303 404 606 707 909 1212 1231 1414 1818 2121 2462 2828 3636 3693 4242 4924 6363 7386 8484 8617 11079 12726 14772 17234 22158 25452 25851 34468 44316 51702 77553 103404 124331 155106 248662 310212 372993 497324 745986 870317 1118979 1491972 1740634 2237958 2610951 3481268 4475916 5221902 7832853 10443804 15665706 31331412