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2312110313 = 17527325793
BaseRepresentation
bin1000100111010000…
…0000000011101001
312222010122101002022
42021310000003221
514213400012223
61021232314225
7111203420252
oct21164000351
95863571068
102312110313
11a87142777
125463a2975
132ab025416
1417d101b29
15d7eb4ac8
hex89d000e9

2312110313 has 8 divisors (see below), whose sum is σ = 2448676008. Its totient is φ = 2175606784.

The previous prime is 2312110309. The next prime is 2312110321. The reversal of 2312110313 is 3130112132.

It can be written as a sum of positive squares in 4 ways, for example, as 178409449 + 2133700864 = 13357^2 + 46192^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2312110313 - 22 = 2312110309 is a prime.

It is a super-3 number, since 3×23121103133 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2312110291 and 2312110300.

It is not an unprimeable number, because it can be changed into a prime (2312110343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76745 + ... + 102537.

It is an arithmetic number, because the mean of its divisors is an integer number (306084501).

Almost surely, 22312110313 is an apocalyptic number.

It is an amenable number.

2312110313 is a deficient number, since it is larger than the sum of its proper divisors (136565695).

2312110313 is a wasteful number, since it uses less digits than its factorization.

2312110313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31083.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 2312110313 is about 48084.4082109783. The cubic root of 2312110313 is about 1322.3188337259.

Adding to 2312110313 its reverse (3130112132), we get a palindrome (5442222445).

The spelling of 2312110313 in words is "two billion, three hundred twelve million, one hundred ten thousand, three hundred thirteen".

Divisors: 1 17 5273 25793 89641 438481 136006489 2312110313