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131013202311 = 32831311338823
BaseRepresentation
bin111101000000011111…
…1101101000110000111
3110112011112110020220100
41322000333231012013
54121303334433221
6140104151335143
712315425562645
oct1720077550607
9415145406810
10131013202311
11506205a0012
12214840814b3
13c47ba85024
1464abc92195
15361bca1926
hex1e80fed187

131013202311 has 24 divisors (see below), whose sum is σ = 192983446656. Its totient is φ = 85631055120.

The previous prime is 131013202297. The next prime is 131013202343. The reversal of 131013202311 is 113202310131.

131013202311 is a `hidden beast` number, since 1 + 31 + 0 + 1 + 320 + 2 + 311 = 666.

It is not a de Polignac number, because 131013202311 - 25 = 131013202279 is a prime.

It is a super-3 number, since 3×1310132023113 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131013203311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 571555 + ... + 767268.

It is an arithmetic number, because the mean of its divisors is an integer number (8040976944).

Almost surely, 2131013202311 is an apocalyptic number.

131013202311 is a deficient number, since it is larger than the sum of its proper divisors (61970244345).

131013202311 is a wasteful number, since it uses less digits than its factorization.

131013202311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339043 (or 1339040 counting only the distinct ones).

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

Adding to 131013202311 its reverse (113202310131), we get a palindrome (244215512442).

The spelling of 131013202311 in words is "one hundred thirty-one billion, thirteen million, two hundred two thousand, three hundred eleven".

Divisors: 1 3 9 83 131 249 393 747 1179 10873 32619 97857 1338823 4016469 12049407 111122309 175385813 333366927 526157439 1000100781 1578472317 14557022479 43671067437 131013202311