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31322113984 = 2672292831217
BaseRepresentation
bin11101001010111100…
…011000011111000000
32222211220002020210201
4131022330120133000
51003121430121414
622220021334544
72156122401400
oct351274303700
988756066721
1031322113984
1112313575917
1260a1867454
132c52273775
141731c84800
15c34c36574
hex74af187c0

31322113984 has 168 divisors, whose sum is σ = 75121709040. Its totient is φ = 12904464384.

The previous prime is 31322113969. The next prime is 31322114003. The reversal of 31322113984 is 48931122313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25736544 + ... + 25737760.

It is an arithmetic number, because the mean of its divisors is an integer number (447153030).

Almost surely, 231322113984 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 31322113984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37560854520).

31322113984 is an abundant number, since it is smaller than the sum of its proper divisors (43799595056).

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

31322113984 is a wasteful number, since it uses less digits than its factorization.

31322113984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1538 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The spelling of 31322113984 in words is "thirty-one billion, three hundred twenty-two million, one hundred thirteen thousand, nine hundred eighty-four".