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2137519131 = 311541911953
BaseRepresentation
bin111111101100111…
…1111010000011011
312111222010020000020
41333121333100123
513334201103011
6552034241523
7103653420126
oct17731772033
95458106006
102137519131
119a7634840
124b7a262a3
13280ac6427
14163c553bd
15c79c9006
hex7f67f41b

2137519131 has 16 divisors (see below), whose sum is σ = 3109952640. Its totient is φ = 1295118720.

The previous prime is 2137519129. The next prime is 2137519177. The reversal of 2137519131 is 1319157312.

It is not a de Polignac number, because 2137519131 - 21 = 2137519129 is a prime.

It is a super-2 number, since 2×21375191312 = 9137976070781990322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2137519092 and 2137519101.

It is not an unprimeable number, because it can be changed into a prime (2137519031) 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, 172851 + ... + 184803.

It is an arithmetic number, because the mean of its divisors is an integer number (194372040).

Almost surely, 22137519131 is an apocalyptic number.

2137519131 is a deficient number, since it is larger than the sum of its proper divisors (972433509).

2137519131 is a wasteful number, since it uses less digits than its factorization.

2137519131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17386.

The product of its digits is 5670, while the sum is 33.

The square root of 2137519131 is about 46233.3119190049. The cubic root of 2137519131 is about 1288.1605759174.

The spelling of 2137519131 in words is "two billion, one hundred thirty-seven million, five hundred nineteen thousand, one hundred thirty-one".

Divisors: 1 3 11 33 5419 11953 16257 35859 59609 131483 178827 394449 64773307 194319921 712506377 2137519131