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12114524131 = 315367110051
BaseRepresentation
bin10110100100001010…
…01111011111100011
31011021021121120220221
423102011033133203
5144302304233011
65322040143511
7606131520223
oct132205173743
934237546827
1012114524131
115157373316
122421167b97
1311b0ac2198
1482cd10083
154ad843971
hex2d214f7e3

12114524131 has 16 divisors (see below), whose sum is σ = 12931550208. Its totient is φ = 11330748000.

The previous prime is 12114524129. The next prime is 12114524249. The reversal of 12114524131 is 13142541121.

It is a happy number.

It is not a de Polignac number, because 12114524131 - 21 = 12114524129 is a prime.

It is a super-3 number, since 3×121145241313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12114524096 and 12114524105.

It is not an unprimeable number, because it can be changed into a prime (12114524101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55056 + ... + 165106.

It is an arithmetic number, because the mean of its divisors is an integer number (808221888).

Almost surely, 212114524131 is an apocalyptic number.

12114524131 is a deficient number, since it is larger than the sum of its proper divisors (817026077).

12114524131 is a wasteful number, since it uses less digits than its factorization.

12114524131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110202.

The product of its digits is 960, while the sum is 25.

The spelling of 12114524131 in words is "twelve billion, one hundred fourteen million, five hundred twenty-four thousand, one hundred thirty-one".

Divisors: 1 31 53 67 1643 2077 3551 110051 110081 3411581 5832703 7373417 180813793 228575927 390791101 12114524131