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12221032131 = 32721117148193
BaseRepresentation
bin10110110000110111…
…00010011011000011
31011112201000202102200
423120123202123003
5200012041012011
65340403044243
7611564026200
oct133033423303
934481022380
1012221032131
1152014aa360
122450970683
1311c9ba3c79
1483d116ca7
154b7d81856
hex2d86e26c3

12221032131 has 72 divisors (see below), whose sum is σ = 23719338864. Its totient is φ = 5975101440.

The previous prime is 12221032099. The next prime is 12221032147. The reversal of 12221032131 is 13123012221.

12221032131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12221032131 - 25 = 12221032099 is a prime.

It is a super-2 number, since 2×122210321312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12221032171) 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 71 ways as a sum of consecutive naturals, for example, 8371 + ... + 156563.

It is an arithmetic number, because the mean of its divisors is an integer number (329435262).

Almost surely, 212221032131 is an apocalyptic number.

12221032131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12221032131 is a deficient number, since it is larger than the sum of its proper divisors (11498306733).

12221032131 is a wasteful number, since it uses less digits than its factorization.

12221032131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148241 (or 148231 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12221032131 its reverse (13123012221), we get a palindrome (25344044352).

The spelling of 12221032131 in words is "twelve billion, two hundred twenty-one million, thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 17 21 33 49 51 63 77 99 119 147 153 187 231 357 441 539 561 693 833 1071 1309 1617 1683 2499 3927 4851 7497 9163 11781 27489 82467 148193 444579 1037351 1333737 1630123 2519281 3112053 4890369 7261457 7557843 9336159 11410861 14671107 17634967 21784371 22673529 27712091 34232583 52904901 65353113 79876027 83136273 102697749 123444769 158714703 193984637 239628081 249408819 370334307 581953911 718884243 1111002921 1357892459 1745861733 4073677377 12221032131