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12116005431 = 311335740429
BaseRepresentation
bin10110100100010101…
…11001001000110111
31011021101101211212220
423102022321020313
5144303144133211
65322132013423
7606150226665
oct132212711067
934241354786
1012116005431
115158195232
122421761273
1311b11c04aa
1482d1b7c35
154ada37806
hex2d22b9237

12116005431 has 8 divisors (see below), whose sum is σ = 16297636080. Its totient is φ = 8005855872.

The previous prime is 12116005409. The next prime is 12116005441. The reversal of 12116005431 is 13450061121.

It is a happy number.

12116005431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12116005431 - 213 = 12115997239 is a prime.

It is a super-2 number, since 2×121160054312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12116005441) 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 7 ways as a sum of consecutive naturals, for example, 17869876 + ... + 17870553.

It is an arithmetic number, because the mean of its divisors is an integer number (2037204510).

Almost surely, 212116005431 is an apocalyptic number.

12116005431 is a deficient number, since it is larger than the sum of its proper divisors (4181630649).

12116005431 is a wasteful number, since it uses less digits than its factorization.

12116005431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35740545.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 12116005431 its reverse (13450061121), we get a palindrome (25566066552).

The spelling of 12116005431 in words is "twelve billion, one hundred sixteen million, five thousand, four hundred thirty-one".

Divisors: 1 3 113 339 35740429 107221287 4038668477 12116005431