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2114132117 is a prime number
BaseRepresentation
bin111111000000011…
…0001100010010101
312110100010001001112
41332000301202111
513312204211432
6545441104405
7103250553326
oct17600614225
95410101045
102114132117
11995410829
124b0028105
13278cc8466
14160ac844d
15c59097b2
hex7e031895

2114132117 has 2 divisors, whose sum is σ = 2114132118. Its totient is φ = 2114132116.

The previous prime is 2114132113. The next prime is 2114132129. The reversal of 2114132117 is 7112314112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1357111921 + 757020196 = 36839^2 + 27514^2 .

It is a cyclic number.

It is not a de Polignac number, because 2114132117 - 22 = 2114132113 is a prime.

It is a super-3 number, since 3×21141321173 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2114132092 and 2114132101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2114132113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1057066058 + 1057066059.

It is an arithmetic number, because the mean of its divisors is an integer number (1057066059).

Almost surely, 22114132117 is an apocalyptic number.

It is an amenable number.

2114132117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2114132117 is an equidigital number, since it uses as much as digits as its factorization.

2114132117 is an evil number, because the sum of its binary digits is even.

The product of its digits is 336, while the sum is 23.

The square root of 2114132117 is about 45979.6924413376. The cubic root of 2114132117 is about 1283.4453316471.

Adding to 2114132117 its reverse (7112314112), we get a palindrome (9226446229).

The spelling of 2114132117 in words is "two billion, one hundred fourteen million, one hundred thirty-two thousand, one hundred seventeen".