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312135131 = 7114786249
BaseRepresentation
bin10010100110101…
…100110111011011
3210202100002220102
4102212230313123
51114401311011
650550050015
710510050650
oct2246546733
9722302812
10312135131
11150212820
128864990b
134c889459
142d651c27
151c60973b
hex129acddb

312135131 has 16 divisors (see below), whose sum is σ = 397440000. Its totient is φ = 238044480.

The previous prime is 312135121. The next prime is 312135143. The reversal of 312135131 is 131531213.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312135131 is a prime.

It is a super-2 number, since 2×3121351312 = 194856680008774322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312135121) 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, 39506 + ... + 46743.

It is an arithmetic number, because the mean of its divisors is an integer number (24840000).

Almost surely, 2312135131 is an apocalyptic number.

312135131 is a deficient number, since it is larger than the sum of its proper divisors (85304869).

312135131 is a wasteful number, since it uses less digits than its factorization.

312135131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86314.

The product of its digits is 270, while the sum is 20.

The square root of 312135131 is about 17667.3464617639. The cubic root of 312135131 is about 678.3401928016.

Adding to 312135131 its reverse (131531213), we get a palindrome (443666344).

The spelling of 312135131 in words is "three hundred twelve million, one hundred thirty-five thousand, one hundred thirty-one".

Divisors: 1 7 11 47 77 329 517 3619 86249 603743 948739 4053703 6641173 28375921 44590733 312135131