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12311132301 = 33131761149227
BaseRepresentation
bin10110111011100110…
…01111100010001101
31011202222120022122000
423131303033202031
5200203122213201
65353342142513
7614036616666
oct133563174215
934688508560
1012311132301
115248349a06
122476b81a39
13121275c690
1484b08c36d
154c0c2cd86
hex2ddccf88d

12311132301 has 128 divisors (see below), whose sum is σ = 21373632000. Its totient is φ = 6935777280.

The previous prime is 12311132263. The next prime is 12311132311. The reversal of 12311132301 is 10323111321.

12311132301 is a `hidden beast` number, since 1 + 231 + 1 + 132 + 301 = 666.

It is not a de Polignac number, because 12311132301 - 211 = 12311130253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12311132311) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54233950 + ... + 54234176.

It is an arithmetic number, because the mean of its divisors is an integer number (166981500).

Almost surely, 212311132301 is an apocalyptic number.

It is an amenable number.

12311132301 is a deficient number, since it is larger than the sum of its proper divisors (9062499699).

12311132301 is a wasteful number, since it uses less digits than its factorization.

12311132301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12311132301 its reverse (10323111321), we get a palindrome (22634243622).

The spelling of 12311132301 in words is "twelve billion, three hundred eleven million, one hundred thirty-two thousand, three hundred one".

Divisors: 1 3 9 13 17 27 39 51 61 117 149 153 183 221 227 351 447 459 549 663 681 793 1037 1341 1647 1937 1989 2043 2379 2533 2951 3111 3859 4023 5811 5967 6129 7137 7599 8853 9089 9333 11577 13481 13847 17433 21411 22797 26559 27267 27999 32929 33823 34731 40443 41541 50167 52299 68391 79677 81801 98787 101469 104193 118157 121329 124623 150501 154513 180011 235399 245403 296361 304407 354471 363987 373869 439699 451503 463539 540033 574991 706197 889083 913221 1063413 1319097 1354509 1390617 1620099 1724973 2008669 2063203 2118591 3060187 3190239 3957291 4171851 4860297 5174919 6026007 6189609 6355773 7474883 9180561 11871873 15524757 18078021 18568827 22424649 26821639 27541683 35074451 54234063 55706481 67273947 80464917 82625049 105223353 201821841 241394751 315670059 455967863 724184253 947010177 1367903589 4103710767 12311132301