Search a number
-
+
113012031421311 = 311371495991037041
BaseRepresentation
bin11001101100100010101001…
…111111001111101101111111
3112211010211210210001120211220
4121230202221333033231333
5104303042120020440221
61040205002134244423
732542564330256001
oct3154425177175577
9484124723046756
10113012031421311
1133011151579870
12108125a47b6713
134b09cb1617a69
141dc9b50ab4371
15d0ea803320c6
hex66c8a9fcfb7f

113012031421311 has 64 divisors (see below), whose sum is σ = 170240814720000. Its totient is φ = 66083175475200.

The previous prime is 113012031421301. The next prime is 113012031421313. The reversal of 113012031421311 is 113124130210311.

It is not a de Polignac number, because 113012031421311 - 27 = 113012031421183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113012031421313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108456951 + ... + 109493991.

It is an arithmetic number, because the mean of its divisors is an integer number (2660012730000).

Almost surely, 2113012031421311 is an apocalyptic number.

113012031421311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113012031421311 is a deficient number, since it is larger than the sum of its proper divisors (57228783298689).

113012031421311 is a wasteful number, since it uses less digits than its factorization.

113012031421311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037840.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 113012031421311 its reverse (113124130210311), we get a palindrome (226136161631622).

The spelling of 113012031421311 in words is "one hundred thirteen trillion, twelve billion, thirty-one million, four hundred twenty-one thousand, three hundred eleven".

Divisors: 1 3 11 33 37 111 149 407 447 599 1221 1639 1797 4917 5513 6589 16539 19767 22163 60643 66489 89251 181929 243793 267753 731379 981761 1037041 2945283 3111123 3302287 9906861 11407451 34222353 36325157 38370517 108975471 115111551 154519109 422075687 463557327 621187559 1266227061 1699710199 1863562677 5099130597 5717207033 6833063149 17151621099 20499189447 22983939683 62889277363 68951819049 92556946291 188667832089 252823336513 277670838873 758470009539 1018126409201 3054379227603 3424607012767 10273821038301 37670677140437 113012031421311