Search a number
-
+
13031111202093 = 3253211539923981
BaseRepresentation
bin1011110110100000101011…
…0000010001010100101101
31201010202120112201100100200
42331220022300101110231
53202000203431431333
643414224305344113
72513316040430445
oct275501260212455
951122515640320
1013031111202093
11417451060a366
121565624938039
13736aa0323c3a
143309cdc87125
15178e80b0ac13
hexbda0ac1152d

13031111202093 has 48 divisors (see below), whose sum is σ = 19273124707200. Its totient is φ = 8481173500800.

The previous prime is 13031111202077. The next prime is 13031111202101. The reversal of 13031111202093 is 39020211113031.

13031111202093 is a `hidden beast` number, since 1 + 30 + 311 + 112 + 0 + 209 + 3 = 666.

It is not a de Polignac number, because 13031111202093 - 24 = 13031111202077 is a prime.

It is a super-2 number, since 2×130311112020932 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031111203093) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543381163 + ... + 543405143.

It is an arithmetic number, because the mean of its divisors is an integer number (401523431400).

Almost surely, 213031111202093 is an apocalyptic number.

It is an amenable number.

13031111202093 is a deficient number, since it is larger than the sum of its proper divisors (6242013505107).

13031111202093 is a wasteful number, since it uses less digits than its factorization.

13031111202093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29650 (or 29647 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 13031111202093 in words is "thirteen trillion, thirty-one billion, one hundred eleven million, two hundred two thousand, ninety-three".

Divisors: 1 3 9 53 159 211 477 633 1899 5399 11183 16197 23981 33549 48591 71943 100647 215829 286147 858441 1139189 1270993 2575323 3417567 3812979 5059991 10252701 11438937 15179973 45539919 60377017 129473419 181131051 268179523 388420257 543393153 804538569 1165260771 2413615707 6862091207 20586273621 27318891409 61758820863 81956674227 245870022681 1447901244677 4343703734031 13031111202093