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31124232032 = 256197116421
BaseRepresentation
bin11100111111001001…
…100001011101100000
32222100002201210210112
4130333021201131200
51002220300411112
622144232150452
72151200415155
oct347711413540
988302653715
1031124232032
11122218aa213
126047538428
132c2027b55a
14171389422c
15c22699a22
hex73f261760

31124232032 has 48 divisors (see below), whose sum is σ = 62348290704. Its totient is φ = 15290304000.

The previous prime is 31124232019. The next prime is 31124232053. The reversal of 31124232032 is 23023242113.

It is a junction number, because it is equal to n+sod(n) for n = 31124231989 and 31124232007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1887182 + ... + 1903602.

It is an arithmetic number, because the mean of its divisors is an integer number (1298922723).

Almost surely, 231124232032 is an apocalyptic number.

31124232032 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 31124232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31174145352).

31124232032 is an abundant number, since it is smaller than the sum of its proper divisors (31224058672).

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

31124232032 is a wasteful number, since it uses less digits than its factorization.

31124232032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17463 (or 17455 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 31124232032 its reverse (23023242113), we get a palindrome (54147474145).

The spelling of 31124232032 in words is "thirty-one billion, one hundred twenty-four million, two hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 16 32 61 122 244 488 971 976 1942 1952 3884 7768 15536 16421 31072 32842 59231 65684 118462 131368 236924 262736 473848 525472 947696 1001681 1895392 2003362 4006724 8013448 15944791 16026896 31889582 32053792 63779164 127558328 255116656 510233312 972632251 1945264502 3890529004 7781058008 15562116016 31124232032