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10112323320 = 23325112269863
BaseRepresentation
bin10010110101011110…
…11100111011111000
3222002202010020202100
421122233130323320
5131202223321240
64351234103400
7505410221121
oct113257347370
928082106670
1010112323320
11431a163200
121b6271ab60
13c52057188
146bd041048
153e2b98e30
hex25abdcef8

10112323320 has 288 divisors, whose sum is σ = 36300700800. Its totient is φ = 2439528960.

The previous prime is 10112323307. The next prime is 10112323409. The reversal of 10112323320 is 2332321101.

10112323320 is a `hidden beast` number, since 10 + 1 + 12 + 323 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10112323293 and 10112323302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11717209 + ... + 11718071.

It is an arithmetic number, because the mean of its divisors is an integer number (126044100).

Almost surely, 210112323320 is an apocalyptic number.

10112323320 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 10112323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18150350400).

10112323320 is an abundant number, since it is smaller than the sum of its proper divisors (26188377480).

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

10112323320 is a wasteful number, since it uses less digits than its factorization.

10112323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1171 (or 1153 counting only the distinct ones).

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

Adding to 10112323320 its reverse (2332321101), we get a palindrome (12444644421).

The spelling of 10112323320 in words is "ten billion, one hundred twelve million, three hundred twenty-three thousand, three hundred twenty".