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12344350131 = 3317111724077
BaseRepresentation
bin10110111111100011…
…11101010110110011
31011212022001221221000
423133301331112303
5200240123201011
65400530133043
7614622146661
oct133761752663
934768057830
1012344350131
115265077a63
122486121183
1312195c01b9
14851657c31
154c3ae0356
hex2dfc7d5b3

12344350131 has 32 divisors (see below), whose sum is σ = 19381826880. Its totient is φ = 7738219008.

The previous prime is 12344350093. The next prime is 12344350147. The reversal of 12344350131 is 13105344321.

It is a happy number.

12344350131 is a `hidden beast` number, since 123 + 4 + 4 + 3 + 501 + 31 = 666.

It is not a de Polignac number, because 12344350131 - 27 = 12344350003 is a prime.

It is a super-2 number, since 2×123443501312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12344350095 and 12344350104.

It is not an unprimeable number, because it can be changed into a prime (12344352131) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 500665 + ... + 524741.

It is an arithmetic number, because the mean of its divisors is an integer number (605682090).

Almost surely, 212344350131 is an apocalyptic number.

12344350131 is a deficient number, since it is larger than the sum of its proper divisors (7037476749).

12344350131 is a wasteful number, since it uses less digits than its factorization.

12344350131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25220 (or 25214 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 12344350131 its reverse (13105344321), we get a palindrome (25449694452).

The spelling of 12344350131 in words is "twelve billion, three hundred forty-four million, three hundred fifty thousand, one hundred thirty-one".

Divisors: 1 3 9 17 27 51 153 459 1117 3351 10053 18989 24077 30159 56967 72231 170901 216693 409309 512703 650079 1227927 3683781 11051343 26894009 80682027 242046081 457198153 726138243 1371594459 4114783377 12344350131