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131331011031 = 32114132355509
BaseRepresentation
bin111101001001111110…
…0000011000111010111
3110112222200110121111200
41322103330003013113
54122431214323111
6140155503203543
712326335113663
oct1722374030727
9415880417450
10131331011031
1150773a28450
12215525a65b3
13c4cc879a1c
1464dc17d8a3
153639b2c256
hex1e93f031d7

131331011031 has 24 divisors (see below), whose sum is σ = 211993301520. Its totient is φ = 77653219200.

The previous prime is 131331011029. The next prime is 131331011051. The reversal of 131331011031 is 130110133131.

131331011031 is a `hidden beast` number, since 1 + 313 + 310 + 1 + 10 + 31 = 666.

It is not a de Polignac number, because 131331011031 - 21 = 131331011029 is a prime.

It is a super-2 number, since 2×1313310110312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131331010995 and 131331011013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331011051) 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, 16173696 + ... + 16181813.

It is an arithmetic number, because the mean of its divisors is an integer number (8833054230).

Almost surely, 2131331011031 is an apocalyptic number.

131331011031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131331011031 is a deficient number, since it is larger than the sum of its proper divisors (80662290489).

131331011031 is a wasteful number, since it uses less digits than its factorization.

131331011031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32355567 (or 32355564 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 131331011031 its reverse (130110133131), we get a palindrome (261441144162).

The spelling of 131331011031 in words is "one hundred thirty-one billion, three hundred thirty-one million, eleven thousand, thirty-one".

Divisors: 1 3 9 11 33 41 99 123 369 451 1353 4059 32355509 97066527 291199581 355910599 1067731797 1326575869 3203195391 3979727607 11939182821 14592334559 43777003677 131331011031