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312113131 = 11531493593
BaseRepresentation
bin10010100110100…
…111011111101011
3210202021222201121
4102212213133223
51114400110011
650545400111
710506626551
oct2246473753
9722258647
10312113131
111501a8240
1288639037
134c87c435
142d647bd1
151c602e71
hex129a77eb

312113131 has 16 divisors (see below), whose sum is σ = 349336800. Its totient is φ = 276440320.

The previous prime is 312113111. The next prime is 312113141. The reversal of 312113131 is 131311213.

It is a cyclic number.

It is not a de Polignac number, because 312113131 - 211 = 312111083 is a prime.

It is a super-2 number, since 2×3121131312 = 194829213085246322, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (312113101) 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, 85071 + ... + 88663.

It is an arithmetic number, because the mean of its divisors is an integer number (21833550).

Almost surely, 2312113131 is an apocalyptic number.

312113131 is a deficient number, since it is larger than the sum of its proper divisors (37223669).

312113131 is a wasteful number, since it uses less digits than its factorization.

312113131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806.

The product of its digits is 54, while the sum is 16.

The square root of 312113131 is about 17666.7238332408. The cubic root of 312113131 is about 678.3242554363.

Adding to 312113131 its reverse (131311213), we get a palindrome (443424344).

The spelling of 312113131 in words is "three hundred twelve million, one hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 11 53 149 583 1639 3593 7897 39523 86867 190429 535357 2094719 5888927 28373921 312113131