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31200123132 = 22331516472957
BaseRepresentation
bin11101000011101011…
…000001100011111100
32222112101112110211000
4131003223001203330
51002344212420012
622155542530300
72153111446053
oct350353014374
988471473730
1031200123132
1112260724332
126068a36990
132c32c00629
14171d9ab39a
15c2918addc
hex743ac18fc

31200123132 has 96 divisors (see below), whose sum is σ = 81578327040. Its totient is φ = 10311710400.

The previous prime is 31200123043. The next prime is 31200123167. The reversal of 31200123132 is 23132100213.

It is a super-2 number, since 2×312001231322 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10549798 + ... + 10552754.

It is an arithmetic number, because the mean of its divisors is an integer number (849774240).

Almost surely, 231200123132 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 31200123132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40789163520).

31200123132 is an abundant number, since it is smaller than the sum of its proper divisors (50378203908).

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

31200123132 is a wasteful number, since it uses less digits than its factorization.

31200123132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768 (or 3760 counting only the distinct ones).

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

Adding to 31200123132 its reverse (23132100213), we get a palindrome (54332223345).

The spelling of 31200123132 in words is "thirty-one billion, two hundred million, one hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 151 302 453 604 647 906 1294 1359 1812 1941 2588 2718 2957 3882 4077 5436 5823 5914 7764 8154 8871 11646 11828 16308 17469 17742 23292 26613 34938 35484 53226 69876 79839 97697 106452 159678 195394 293091 319356 390788 446507 586182 879273 893014 1172364 1339521 1758546 1786028 1913179 2637819 2679042 3517092 3826358 4018563 5275638 5358084 5739537 7652716 8037126 10551276 11479074 12055689 16074252 17218611 22958148 24111378 34437222 48222756 51655833 68874444 103311666 206623332 288890029 577780058 866670087 1155560116 1733340174 2600010261 3466680348 5200020522 7800030783 10400041044 15600061566 31200123132