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131332019 = 7134333563
BaseRepresentation
bin1111101001111…
…11011110110011
3100011010100122212
413310333132303
5232110111034
621010522335
73153206120
oct764773663
9304110585
10131332019
1168151765
1237b963ab
1321293b70
1413629747
15b7e32ce
hex7d3f7b3

131332019 has 16 divisors (see below), whose sum is σ = 165403392. Its totient is φ = 101491488.

The previous prime is 131331997. The next prime is 131332031. The reversal of 131332019 is 910233131.

131332019 = T2450 + T2451 + ... + T2492.

It is a de Polignac number, because none of the positive numbers 2k-131332019 is a prime.

It is a super-2 number, since 2×1313320192 = 34496198429232722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131331985 and 131332003.

It is not an unprimeable number, because it can be changed into a prime (131332319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12869 + ... + 20694.

It is an arithmetic number, because the mean of its divisors is an integer number (10337712).

Almost surely, 2131332019 is an apocalyptic number.

131332019 is a deficient number, since it is larger than the sum of its proper divisors (34071373).

131332019 is a wasteful number, since it uses less digits than its factorization.

131332019 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33626.

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 131332019 is about 11460.0182809627. The cubic root of 131332019 is about 508.3040151743.

The spelling of 131332019 in words is "one hundred thirty-one million, three hundred thirty-two thousand, nineteen".

Divisors: 1 7 13 43 91 301 559 3913 33563 234941 436319 1443209 3054233 10102463 18761717 131332019