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10320131232 = 253235833789
BaseRepresentation
bin10011001110010000…
…01011010010100000
3222122020010222121200
421213020023102200
5132113423144412
64424020121200
7513512445105
oct114710132240
928566128550
1010320131232
114416499384
122000236200
13c86116338
146dc896aac
154060469dc
hex26720b4a0

10320131232 has 36 divisors (see below), whose sum is σ = 29347874010. Its totient is φ = 3440043648.

The previous prime is 10320131209. The next prime is 10320131243. The reversal of 10320131232 is 23213102301.

10320131232 is a `hidden beast` number, since 1 + 0 + 320 + 1 + 312 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10289262096 + 30869136 = 101436^2 + 5556^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 17916607 + ... + 17917182.

Almost surely, 210320131232 is an apocalyptic number.

10320131232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10320131232 is an abundant number, since it is smaller than the sum of its proper divisors (19027742778).

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

10320131232 is a wasteful number, since it uses less digits than its factorization.

10320131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35833805 (or 35833794 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10320131232 its reverse (23213102301), we get a palindrome (33533233533).

The spelling of 10320131232 in words is "ten billion, three hundred twenty million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 35833789 71667578 107501367 143335156 215002734 286670312 322504101 430005468 573340624 645008202 860010936 1146681248 1290016404 1720021872 2580032808 3440043744 5160065616 10320131232