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12214034131 = 13311011092753
BaseRepresentation
bin10110110000000001…
…10101111011010011
31011112012212012222111
423120000311323103
5200003243043011
65335553050151
7611450401645
oct133000657323
934465765874
1012214034131
1151a855a692
12244a556957
1311c85c3940
1483c214895
154b744d121
hex2d8035ed3

12214034131 has 32 divisors (see below), whose sum is σ = 13843146240. Its totient is φ = 10699776000.

The previous prime is 12214034117. The next prime is 12214034153. The reversal of 12214034131 is 13143041221.

12214034131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12214034131 - 225 = 12180479699 is a prime.

It is a super-2 number, since 2×122140341312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12214034191) 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 31 ways as a sum of consecutive naturals, for example, 4435251 + ... + 4438003.

It is an arithmetic number, because the mean of its divisors is an integer number (432598320).

Almost surely, 212214034131 is an apocalyptic number.

12214034131 is a deficient number, since it is larger than the sum of its proper divisors (1629112109).

12214034131 is a wasteful number, since it uses less digits than its factorization.

12214034131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 12214034131 its reverse (13143041221), we get a palindrome (25357075352).

The spelling of 12214034131 in words is "twelve billion, two hundred fourteen million, thirty-four thousand, one hundred thirty-one".

Divisors: 1 13 31 101 109 403 1313 1417 2753 3131 3379 11009 35789 40703 43927 85343 143117 278053 300077 341279 1109459 3614689 3901001 4436627 8619643 9302387 30307777 112055359 120931031 394001101 939541087 12214034131