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31322112032 = 2541106122501
BaseRepresentation
bin11101001010111100…
…011000000000100000
32222211220002011010102
4131022330120000200
51003121430041112
622220021321532
72156122362611
oct351274300040
988756064112
1031322112032
1112313574402
1260a18662a8
132c52272903
141731c83c08
15c34c35bc2
hex74af18020

31322112032 has 48 divisors (see below), whose sum is σ = 63231790104. Its totient is φ = 15264000000.

The previous prime is 31322112023. The next prime is 31322112037. The reversal of 31322112032 is 23021122313.

It can be written as a sum of positive squares in 4 ways, for example, as 29985770896 + 1336341136 = 173164^2 + 36556^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31322111995 and 31322112013.

It is not an unprimeable number, because it can be changed into a prime (31322112037) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1380782 + ... + 1403282.

Almost surely, 231322112032 is an apocalyptic number.

31322112032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31322112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31615895052).

31322112032 is an abundant number, since it is smaller than the sum of its proper divisors (31909678072).

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

31322112032 is a wasteful number, since it uses less digits than its factorization.

31322112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23613 (or 23605 counting only the distinct ones).

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

Adding to 31322112032 its reverse (23021122313), we get a palindrome (54343234345).

The spelling of 31322112032 in words is "thirty-one billion, three hundred twenty-two million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1061 1312 2122 4244 8488 16976 22501 33952 43501 45002 87002 90004 174004 180008 348008 360016 696016 720032 922541 1392032 1845082 3690164 7380328 14760656 23873561 29521312 47747122 95494244 190988488 381976976 763953952 978816001 1957632002 3915264004 7830528008 15661056016 31322112032