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131233013 = 17312271097
BaseRepresentation
bin1111101001001…
…11010011110101
3100010221022211222
413310213103311
5232043424023
621004440125
73152314352
oct764472365
9303838758
10131233013
116809433a
1237b49045
132125aa92
1413601629
15b7c3cc8
hex7d274f5

131233013 has 16 divisors (see below), whose sum is σ = 144198144. Its totient is φ = 118894080.

The previous prime is 131232931. The next prime is 131233027. The reversal of 131233013 is 310332131.

It is a cyclic number.

It is not a de Polignac number, because 131233013 - 218 = 130970869 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131232982 and 131233000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131233073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119081 + ... + 120177.

It is an arithmetic number, because the mean of its divisors is an integer number (9012384).

Almost surely, 2131233013 is an apocalyptic number.

It is an amenable number.

131233013 is a deficient number, since it is larger than the sum of its proper divisors (12965131).

131233013 is a wasteful number, since it uses less digits than its factorization.

131233013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 131233013 is about 11455.6978399397. The cubic root of 131233013 is about 508.1762529854.

Adding to 131233013 its reverse (310332131), we get a palindrome (441565144).

The spelling of 131233013 in words is "one hundred thirty-one million, two hundred thirty-three thousand, thirteen".

Divisors: 1 17 31 227 527 1097 3859 7037 18649 34007 119629 249019 578119 4233323 7719589 131233013