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12243431452131 = 331182749847249
BaseRepresentation
bin1011001000101010010101…
…1000011110110111100011
31121100110102210022011012000
42302022211120132313203
53101044021422432011
642012315454535043
72402362434141645
oct262124530366743
947313383264160
1012243431452131
1139a04569618a0
121458a38507483
136aa72097a059
14304829ca4895
1516372e248356
hexb22a561ede3

12243431452131 has 32 divisors (see below), whose sum is σ = 19811291040000. Its totient is φ = 7411288832640.

The previous prime is 12243431452117. The next prime is 12243431452207. The reversal of 12243431452131 is 13125413434221.

12243431452131 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 3 + 431 + 4 + 5 + 213 + 1 = 666.

It is not a de Polignac number, because 12243431452131 - 26 = 12243431452067 is a prime.

It is a super-2 number, since 2×122434314521312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12243431452831) 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, 24678006 + ... + 25169243.

It is an arithmetic number, because the mean of its divisors is an integer number (619102845000).

Almost surely, 212243431452131 is an apocalyptic number.

12243431452131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12243431452131 is a deficient number, since it is larger than the sum of its proper divisors (7567859587869).

12243431452131 is a wasteful number, since it uses less digits than its factorization.

12243431452131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49848096 (or 49848090 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 12243431452131 its reverse (13125413434221), we get a palindrome (25368844886352).

The spelling of 12243431452131 in words is "twelve trillion, two hundred forty-three billion, four hundred thirty-one million, four hundred fifty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 827 2481 7443 9097 22329 27291 81873 245619 49847249 149541747 448625241 548319739 1345875723 1644959217 4934877651 14804632953 41223674923 123671024769 371013074307 453460424153 1113039222921 1360381272459 4081143817377 12243431452131