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10031857920 = 283257314013
BaseRepresentation
bin10010101011111001…
…00000000100000000
3221220010201011222100
421111330200010000
5131021123423140
64335241310400
7503412246120
oct112574400400
927803634870
1010031857920
1142887a4377
121b3b795400
13c3b493006
146b2496c80
153daaa2530
hex255f20100

10031857920 has 432 divisors, whose sum is σ = 40957443072. Its totient is φ = 2218475520.

The previous prime is 10031857919. The next prime is 10031857931. The reversal of 10031857920 is 2975813001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2497834 + ... + 2501846.

It is an arithmetic number, because the mean of its divisors is an integer number (94808896).

Almost surely, 210031857920 is an apocalyptic number.

10031857920 is a gapful number since it is divisible by the number (10) 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 10031857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20478721536).

10031857920 is an abundant number, since it is smaller than the sum of its proper divisors (30925585152).

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

10031857920 is a wasteful number, since it uses less digits than its factorization.

10031857920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10031857920 in words is "ten billion, thirty-one million, eight hundred fifty-seven thousand, nine hundred twenty".