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112312323000 = 233253971271013
BaseRepresentation
bin110100010011001010…
…1100000101110111000
3101201220020110011012200
41220212111200232320
53320003423314000
6123332350510200
711054126664633
oct1504625405670
9351806404180
10112312323000
11436a4418659
1219925205360
13a78b598077
14561633cc1a
152dc5100500
hex1a26560bb8

112312323000 has 384 divisors, whose sum is σ = 386930718720. Its totient is φ = 29378764800.

The previous prime is 112312322981. The next prime is 112312323007. The reversal of 112312323000 is 323213211.

It is a super-2 number, since 2×1123123230002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112312323007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110870494 + ... + 110871506.

It is an arithmetic number, because the mean of its divisors is an integer number (1007632080).

Almost surely, 2112312323000 is an apocalyptic number.

112312323000 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 112312323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193465359360).

112312323000 is an abundant number, since it is smaller than the sum of its proper divisors (274618395720).

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

112312323000 is a wasteful number, since it uses less digits than its factorization.

112312323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1247 counting only the distinct ones).

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

Adding to 112312323000 its reverse (323213211), we get a palindrome (112635536211).

The spelling of 112312323000 in words is "one hundred twelve billion, three hundred twelve million, three hundred twenty-three thousand".