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12431210031240 = 233571113103489927
BaseRepresentation
bin1011010011100101110111…
…0110111010100010001000
31122000102010101211022222020
42310321131312322202020
53112133104231444430
642234452525324440
72422060654550160
oct264713566724210
948012111738866
1012431210031240
113a63056a88650
121489303106720
136c2347cba320
1430d960bab5a0
1516856e7b0b10
hexb4e5ddba888

12431210031240 has 256 divisors, whose sum is σ = 50072566763520. Its totient is φ = 2384407895040.

The previous prime is 12431210031223. The next prime is 12431210031263. The reversal of 12431210031240 is 4213001213421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12431210031240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51624844 + ... + 51865083.

It is an arithmetic number, because the mean of its divisors is an integer number (195595963920).

Almost surely, 212431210031240 is an apocalyptic number.

12431210031240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12431210031240 is an abundant number, since it is smaller than the sum of its proper divisors (37641356732280).

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

12431210031240 is a wasteful number, since it uses less digits than its factorization.

12431210031240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103489972 (or 103489968 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12431210031240 its reverse (4213001213421), we get a palindrome (16644211244661).

The spelling of 12431210031240 in words is "twelve trillion, four hundred thirty-one billion, two hundred ten million, thirty-one thousand, two hundred forty".