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2313101113 is a prime number
BaseRepresentation
bin1000100111011111…
…0001111100111001
312222012111201012121
42021313301330321
514214123213423
61021305441241
7111215015011
oct21167617471
95865451177
102313101113
11a8775a114
125467a0221
132ab2b13ab
1417d2bcc41
15d810d45d
hex89df1f39

2313101113 has 2 divisors, whose sum is σ = 2313101114. Its totient is φ = 2313101112.

The previous prime is 2313101111. The next prime is 2313101117. The reversal of 2313101113 is 3111013132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2264617744 + 48483369 = 47588^2 + 6963^2 .

It is a cyclic number.

It is not a de Polignac number, because 2313101113 - 21 = 2313101111 is a prime.

Together with 2313101111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2313101111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156550556 + 1156550557.

It is an arithmetic number, because the mean of its divisors is an integer number (1156550557).

Almost surely, 22313101113 is an apocalyptic number.

It is an amenable number.

2313101113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313101113 is an equidigital number, since it uses as much as digits as its factorization.

2313101113 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2313101113 is about 48094.7098234307. The cubic root of 2313101113 is about 1322.5076895362.

Adding to 2313101113 its reverse (3111013132), we get a palindrome (5424114245).

The spelling of 2313101113 in words is "two billion, three hundred thirteen million, one hundred one thousand, one hundred thirteen".