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2014132117 is a prime number
BaseRepresentation
bin111100000001101…
…0011011110010101
312012100221111211211
41320003103132111
513111104211432
6531505501421
7100624561204
oct17003233625
95170844754
102014132117
11943a1a2a8
12482641871
1326138496a
141516d723b
15bbc54d47
hex780d3795

2014132117 has 2 divisors, whose sum is σ = 2014132118. Its totient is φ = 2014132116.

The previous prime is 2014132051. The next prime is 2014132121. The reversal of 2014132117 is 7112314102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2005785796 + 8346321 = 44786^2 + 2889^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2014132117 is a prime.

It is a super-3 number, since 3×20141321173 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2014132187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1007066058 + 1007066059.

It is an arithmetic number, because the mean of its divisors is an integer number (1007066059).

Almost surely, 22014132117 is an apocalyptic number.

It is an amenable number.

2014132117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2014132117 is an equidigital number, since it uses as much as digits as its factorization.

2014132117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 2014132117 is about 44879.0832905486. The cubic root of 2014132117 is about 1262.8816461718.

Adding to 2014132117 its reverse (7112314102), we get a palindrome (9126446219).

The spelling of 2014132117 in words is "two billion, fourteen million, one hundred thirty-two thousand, one hundred seventeen".