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10468031112 = 23347211174143
BaseRepresentation
bin10011011111111000…
…10111101010001000
31000000112110002010000
421233330113222020
5132414303443422
64450422123000
7520256540100
oct115774275210
930015402100
1010468031112
114491a26790
122041880460
13caa95b366
14714396200
1541400dcac
hex26ff17a88

10468031112 has 960 divisors, whose sum is σ = 41295925440. Its totient is φ = 2438553600.

The previous prime is 10468031017. The next prime is 10468031177. The reversal of 10468031112 is 21113086401.

It is a happy number.

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

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 239 ways as a sum of consecutive naturals, for example, 243442563 + ... + 243442605.

It is an arithmetic number, because the mean of its divisors is an integer number (43016589).

Almost surely, 210468031112 is an apocalyptic number.

10468031112 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 10468031112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20647962720).

10468031112 is an abundant number, since it is smaller than the sum of its proper divisors (30827894328).

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

10468031112 is a wasteful number, since it uses less digits than its factorization.

10468031112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 10468031112 in words is "ten billion, four hundred sixty-eight million, thirty-one thousand, one hundred twelve".