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31432304124 = 223313192941991
BaseRepresentation
bin11101010001100000…
…101110010111111100
310000010120102111021000
4131101200232113330
51003333132212444
622234555210300
72161631114424
oct352140562774
9100116374230
1031432304124
111236a797351
126112746990
132c6c044530
141742769484
15c3e750469
hex75182e5fc

31432304124 has 384 divisors, whose sum is σ = 97993728000. Its totient is φ = 8622028800.

The previous prime is 31432304119. The next prime is 31432304147. The reversal of 31432304124 is 42140323413.

31432304124 is a `hidden beast` number, since 3 + 14 + 3 + 230 + 412 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31717269 + ... + 31718259.

It is an arithmetic number, because the mean of its divisors is an integer number (255192000).

Almost surely, 231432304124 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 31432304124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48996864000).

31432304124 is an abundant number, since it is smaller than the sum of its proper divisors (66561423876).

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

31432304124 is a wasteful number, since it uses less digits than its factorization.

31432304124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 31432304124 its reverse (42140323413), we get a palindrome (73572627537).

The spelling of 31432304124 in words is "thirty-one billion, four hundred thirty-two million, three hundred four thousand, one hundred twenty-four".