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123340131000 = 23335310344351
BaseRepresentation
bin111001011011110100…
…1010000101010111000
3102210100210012211212000
41302313221100222320
54010100033143000
6132354531021000
711624324546442
oct1626751205270
9383323184760
10123340131000
1148343319a69
121baa243a760
13b8281aaa48
145d80bab492
15331d334000
hex1cb7a50ab8

123340131000 has 256 divisors, whose sum is σ = 431740108800. Its totient is φ = 32570640000.

The previous prime is 123340130981. The next prime is 123340131007. The reversal of 123340131000 is 131043321.

123340131000 is a `hidden beast` number, since 1 + 233 + 401 + 31 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1233401310002 (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 (123340131007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2758825 + ... + 2803175.

It is an arithmetic number, because the mean of its divisors is an integer number (1686484800).

Almost surely, 2123340131000 is an apocalyptic number.

123340131000 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 123340131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215870054400).

123340131000 is an abundant number, since it is smaller than the sum of its proper divisors (308399977800).

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

123340131000 is a wasteful number, since it uses less digits than its factorization.

123340131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44484 (or 44464 counting only the distinct ones).

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

Adding to 123340131000 its reverse (131043321), we get a palindrome (123471174321).

The spelling of 123340131000 in words is "one hundred twenty-three billion, three hundred forty million, one hundred thirty-one thousand".