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10232097120 = 253357563601
BaseRepresentation
bin10011000011110000…
…10110100101100000
3222102002111101112000
421201320112211200
5131423404101440
64411153204000
7511363250640
oct114170264540
928362441460
1010232097120
114380830013
121b96860600
13c70b0214b
146d0cdc520
153ed457730
hex261e16960

10232097120 has 384 divisors, whose sum is σ = 41069306880. Its totient is φ = 2330726400.

The previous prime is 10232097097. The next prime is 10232097131. The reversal of 10232097120 is 2179023201.

It is a super-2 number, since 2×102320971202 (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 a congruent number.

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, 17024820 + ... + 17025420.

It is an arithmetic number, because the mean of its divisors is an integer number (106951320).

Almost surely, 210232097120 is an apocalyptic number.

10232097120 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 10232097120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20534653440).

10232097120 is an abundant number, since it is smaller than the sum of its proper divisors (30837209760).

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

10232097120 is a wasteful number, since it uses less digits than its factorization.

10232097120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10232097120 in words is "ten billion, two hundred thirty-two million, ninety-seven thousand, one hundred twenty".