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10232312112 = 24321137712459
BaseRepresentation
bin10011000011110010…
…01011000100110000
3222102002220022102200
421201321023010300
5131423432441422
64411201543200
7511365134511
oct114171130460
928362808380
1010232312112
1143809675a0
121b96944b00
13c70b78c69
146d0d56a08
153ed49b2ac
hex261e4b130

10232312112 has 240 divisors, whose sum is σ = 32548988160. Its totient is φ = 2973196800.

The previous prime is 10232312099. The next prime is 10232312119. The reversal of 10232312112 is 21121323201.

10232312112 is a `hidden beast` number, since 10 + 232 + 312 + 112 = 666.

It is a super-2 number, since 2×102323121122 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10232312119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4159939 + ... + 4162397.

It is an arithmetic number, because the mean of its divisors is an integer number (135620784).

Almost surely, 210232312112 is an apocalyptic number.

10232312112 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 10232312112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16274494080).

10232312112 is an abundant number, since it is smaller than the sum of its proper divisors (22316676048).

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

10232312112 is a wasteful number, since it uses less digits than its factorization.

10232312112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10232312112 its reverse (21121323201), we get a palindrome (31353635313).

The spelling of 10232312112 in words is "ten billion, two hundred thirty-two million, three hundred twelve thousand, one hundred twelve".