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2114123237 is a prime number
BaseRepresentation
bin111111000000010…
…1111010111100101
312110100002120212122
41332000233113211
513312203420422
6545440555325
7103250515412
oct17600572745
95410076778
102114123237
11995405096
124b0022b45
13278cc43c5
14160ac5109
15c5906d42
hex7e02f5e5

2114123237 has 2 divisors, whose sum is σ = 2114123238. Its totient is φ = 2114123236.

The previous prime is 2114123197. The next prime is 2114123239. The reversal of 2114123237 is 7323214112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1993979716 + 120143521 = 44654^2 + 10961^2 .

It is a cyclic number.

It is not a de Polignac number, because 2114123237 - 26 = 2114123173 is a prime.

It is a super-2 number, since 2×21141232372 = 8939034122446716338, which contains 22 as substring.

Together with 2114123239, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2114123239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1057061618 + 1057061619.

It is an arithmetic number, because the mean of its divisors is an integer number (1057061619).

Almost surely, 22114123237 is an apocalyptic number.

It is an amenable number.

2114123237 is a deficient number, since it is larger than the sum of its proper divisors (1).

2114123237 is an equidigital number, since it uses as much as digits as its factorization.

2114123237 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2016, while the sum is 26.

The square root of 2114123237 is about 45979.5958768669. The cubic root of 2114123237 is about 1283.4435346906.

Adding to 2114123237 its reverse (7323214112), we get a palindrome (9437337349).

The spelling of 2114123237 in words is "two billion, one hundred fourteen million, one hundred twenty-three thousand, two hundred thirty-seven".