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12931275042 = 2327731405879
BaseRepresentation
bin11000000101100001…
…11001100100100010
31020101012110211112200
430002300321210202
5202440401300132
65535054034030
7635310011220
oct140260714442
936335424480
1012931275042
115536405374
12260a7a8916
1312b108b64a
148a9599b10
1550a3c8d7c
hex302c39922

12931275042 has 48 divisors (see below), whose sum is σ = 32458957440. Its totient is φ = 3644035776.

The previous prime is 12931275041. The next prime is 12931275079. The reversal of 12931275042 is 24057213921.

12931275042 is a `hidden beast` number, since 1 + 29 + 3 + 127 + 504 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12931274988 and 12931275006.

It is not an unprimeable number, because it can be changed into a prime (12931275041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 693742 + ... + 712137.

It is an arithmetic number, because the mean of its divisors is an integer number (676228280).

Almost surely, 212931275042 is an apocalyptic number.

12931275042 is an abundant number, since it is smaller than the sum of its proper divisors (19527682398).

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

12931275042 is a wasteful number, since it uses less digits than its factorization.

12931275042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405967 (or 1405964 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 12931275042 its reverse (24057213921), we get a palindrome (36988488963).

The spelling of 12931275042 in words is "twelve billion, nine hundred thirty-one million, two hundred seventy-five thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 146 219 438 511 657 1022 1314 1533 3066 4599 9198 1405879 2811758 4217637 8435274 9841153 12652911 19682306 25305822 29523459 59046918 88570377 102629167 177140754 205258334 307887501 615775002 718404169 923662503 1436808338 1847325006 2155212507 4310425014 6465637521 12931275042