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12334123323400 = 235261670616617
BaseRepresentation
bin1011001101111100001100…
…0010100001000000001000
31121200010112021001120021011
42303133003002201000020
53104040241032322100
642122115032253304
72412053034262624
oct263370302410010
947603467046234
1012334123323400
113a2596608001a
121472528b41234
136b6144c237c8
14308d90a22184
15165c8b1ddbba
hexb37c30a1008

12334123323400 has 24 divisors (see below), whose sum is σ = 28676836727370. Its totient is φ = 4933649329280.

The previous prime is 12334123323367. The next prime is 12334123323413. The reversal of 12334123323400 is 432332143321.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 11296092453156 + 1038030870244 = 3360966^2 + 1018838^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30835308109 + ... + 30835308508.

Almost surely, 212334123323400 is an apocalyptic number.

12334123323400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12334123323400 is an abundant number, since it is smaller than the sum of its proper divisors (16342713403970).

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

12334123323400 is a wasteful number, since it uses less digits than its factorization.

12334123323400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61670616633 (or 61670616624 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 12334123323400 its reverse (432332143321), we get a palindrome (12766455466721).

The spelling of 12334123323400 in words is "twelve trillion, three hundred thirty-four billion, one hundred twenty-three million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 61670616617 123341233234 246682466468 308353083085 493364932936 616706166170 1233412332340 1541765415425 2466824664680 3083530830850 6167061661700 12334123323400