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10231117344 = 2533717151659
BaseRepresentation
bin10011000011101001…
…00111011000100000
3222102000122121112000
421201310213120200
5131423131223334
64411120204000
7511352030310
oct114164473040
928360577460
1010231117344
114380220988
121b96469600
13c7084b1b6
146d0b25440
153ed312299
hex261d27620

10231117344 has 384 divisors, whose sum is σ = 36404121600. Its totient is φ = 2728857600.

The previous prime is 10231117331. The next prime is 10231117363. The reversal of 10231117344 is 44371113201.

10231117344 is a `hidden beast` number, since 1 + 0 + 2 + 311 + 1 + 7 + 344 = 666.

It is a super-2 number, since 2×102311173442 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15524887 + ... + 15525545.

It is an arithmetic number, because the mean of its divisors is an integer number (94802400).

Almost surely, 210231117344 is an apocalyptic number.

10231117344 is a gapful number since it is divisible by the number (14) 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 10231117344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18202060800).

10231117344 is an abundant number, since it is smaller than the sum of its proper divisors (26173004256).

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

10231117344 is a wasteful number, since it uses less digits than its factorization.

10231117344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 10231117344 in words is "ten billion, two hundred thirty-one million, one hundred seventeen thousand, three hundred forty-four".