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2263831313 is a prime number
BaseRepresentation
bin1000011011101111…
…0101001100010001
312211202210112202012
42012323311030101
514114020100223
61012345432305
7110046151202
oct20673651421
95752715665
102263831313
11a61967a77
1253219b695
132a1020473
141769355a9
15d3b29c78
hex86ef5311

2263831313 has 2 divisors, whose sum is σ = 2263831314. Its totient is φ = 2263831312.

The previous prime is 2263831301. The next prime is 2263831403. The reversal of 2263831313 is 3131383622.

2263831313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2088215809 + 175615504 = 45697^2 + 13252^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2263831313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2263831313.

It is not a weakly prime, because it can be changed into another prime (2263831613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1131915656 + 1131915657.

It is an arithmetic number, because the mean of its divisors is an integer number (1131915657).

Almost surely, 22263831313 is an apocalyptic number.

It is an amenable number.

2263831313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2263831313 is an equidigital number, since it uses as much as digits as its factorization.

2263831313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 15552, while the sum is 32.

The square root of 2263831313 is about 47579.7363695933. The cubic root of 2263831313 is about 1313.0502727610.

The spelling of 2263831313 in words is "two billion, two hundred sixty-three million, eight hundred thirty-one thousand, three hundred thirteen".