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123230112 = 2538914423
BaseRepresentation
bin1110101100001…
…01011110100000
322120212201221020
413112011132200
5223021330422
620121125440
73024303315
oct726053640
9276781836
10123230112
1163618675
1235329880
131c6b8235
141251ad0c
15ac4295c
hex75857a0

123230112 has 48 divisors (see below), whose sum is σ = 327136320. Its totient is φ = 40612352.

The previous prime is 123230111. The next prime is 123230117. The reversal of 123230112 is 211032321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 123230091 and 123230100.

It is not an unprimeable number, because it can be changed into a prime (123230111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1333 + ... + 15755.

It is an arithmetic number, because the mean of its divisors is an integer number (6815340).

Almost surely, 2123230112 is an apocalyptic number.

123230112 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 123230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163568160).

123230112 is an abundant number, since it is smaller than the sum of its proper divisors (203906208).

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

123230112 is a wasteful number, since it uses less digits than its factorization.

123230112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14525 (or 14517 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 123230112 is about 11100.9059089788. The cubic root of 123230112 is about 497.6289230956.

Adding to 123230112 its reverse (211032321), we get a palindrome (334262433).

The spelling of 123230112 in words is "one hundred twenty-three million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 8544 14423 28846 43269 57692 86538 115384 173076 230768 346152 461536 692304 1283647 1384608 2567294 3850941 5134588 7701882 10269176 15403764 20538352 30807528 41076704 61615056 123230112