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12431052312 = 2337226932611
BaseRepresentation
bin10111001001111001…
…01100111000011000
31012002100012212221220
423210330230320120
5200424322133222
65413304332040
7620024126010
oct134474547030
935070185856
1012431052312
1152aa006658
1224ab174020
131231559073
1485cd86c40
154cb519b5c
hex2e4f2ce18

12431052312 has 64 divisors (see below), whose sum is σ = 35534035200. Its totient is φ = 3550055040.

The previous prime is 12431052311. The next prime is 12431052317. The reversal of 12431052312 is 21325013421.

12431052312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12431052311) 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 15 ways as a sum of consecutive naturals, for example, 364887 + ... + 397497.

It is an arithmetic number, because the mean of its divisors is an integer number (555219300).

Almost surely, 212431052312 is an apocalyptic number.

12431052312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12431052312 is an abundant number, since it is smaller than the sum of its proper divisors (23102982888).

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

12431052312 is a wasteful number, since it uses less digits than its factorization.

12431052312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34896 (or 34892 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 12431052312 its reverse (21325013421), we get a palindrome (33756065733).

The spelling of 12431052312 in words is "twelve billion, four hundred thirty-one million, fifty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2269 4538 6807 9076 13614 15883 18152 27228 31766 32611 47649 54456 63532 65222 95298 97833 127064 130444 190596 195666 228277 260888 381192 391332 456554 684831 782664 913108 1369662 1826216 2739324 5478648 73994359 147988718 221983077 295977436 443966154 517960513 591954872 887932308 1035921026 1553881539 1775864616 2071842052 3107763078 4143684104 6215526156 12431052312