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10104431232 = 273737283359
BaseRepresentation
bin10010110100100010…
…10110001010000000
3222002012021021211210
421122101112022000
5131143213244412
64350353010120
7505253151120
oct113221261200
928065237753
1010104431232
114315762815
121b5bb53940
13c50522bbc
146bbd88c80
153e213a83c
hex25a456280

10104431232 has 256 divisors, whose sum is σ = 31702579200. Its totient is φ = 2791231488.

The previous prime is 10104431191. The next prime is 10104431297. The reversal of 10104431232 is 23213440101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10104431199 and 10104431208.

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, 28145869 + ... + 28146227.

It is an arithmetic number, because the mean of its divisors is an integer number (123838200).

Almost surely, 210104431232 is an apocalyptic number.

10104431232 is a gapful number since it is divisible by the number (12) 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 10104431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15851289600).

10104431232 is an abundant number, since it is smaller than the sum of its proper divisors (21598147968).

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

10104431232 is a wasteful number, since it uses less digits than its factorization.

10104431232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10104431232 its reverse (23213440101), we get a palindrome (33317871333).

The spelling of 10104431232 in words is "ten billion, one hundred four million, four hundred thirty-one thousand, two hundred thirty-two".