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12431212040100 = 2235273196358351
BaseRepresentation
bin1011010011100101110111…
…1110100100111110100100
31122000102010112121101121110
42310321131332210332210
53112133110240240400
642234453040345020
72422061010615000
oct264713576447644
948012115541543
1012431212040100
113a6305812a967
121489303915170
136c23485417b9
1430d961171700
1516856ea5ae50
hexb4e5dfa4fa4

12431212040100 has 288 divisors, whose sum is σ = 44152396288000. Its totient is φ = 2691871056000.

The previous prime is 12431212040083. The next prime is 12431212040167. The reversal of 12431212040100 is 104021213421.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1224076 + ... + 5134275.

Almost surely, 212431212040100 is an apocalyptic number.

12431212040100 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 12431212040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22076198144000).

12431212040100 is an abundant number, since it is smaller than the sum of its proper divisors (31721184247900).

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

12431212040100 is a wasteful number, since it uses less digits than its factorization.

12431212040100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6358408 (or 6358387 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12431212040100 its reverse (104021213421), we get a palindrome (12535233253521).

The spelling of 12431212040100 in words is "twelve trillion, four hundred thirty-one billion, two hundred twelve million, forty thousand, one hundred".