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2113122331 is a prime number
BaseRepresentation
bin111110111110011…
…1011000000011011
312110021012201220001
41331330323000123
513311424403311
6545403313431
7103236146335
oct17574730033
95407181801
102113122331
119948910a1
124ab81b877
13278a33958
14160904455
15c57aa4c1
hex7df3b01b

2113122331 has 2 divisors, whose sum is σ = 2113122332. Its totient is φ = 2113122330.

The previous prime is 2113122307. The next prime is 2113122359. The reversal of 2113122331 is 1332213112.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2113122331 - 27 = 2113122203 is a prime.

It is a super-2 number, since 2×21131223312 = 8930571971541747122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2113122299 and 2113122308.

It is not a weakly prime, because it can be changed into another prime (2113122301) 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, 1056561165 + 1056561166.

It is an arithmetic number, because the mean of its divisors is an integer number (1056561166).

Almost surely, 22113122331 is an apocalyptic number.

2113122331 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113122331 is an equidigital number, since it uses as much as digits as its factorization.

2113122331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 19.

The square root of 2113122331 is about 45968.7103473656. The cubic root of 2113122331 is about 1283.2409591276.

Adding to 2113122331 its reverse (1332213112), we get a palindrome (3445335443).

The spelling of 2113122331 in words is "two billion, one hundred thirteen million, one hundred twenty-two thousand, three hundred thirty-one".