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2140114013 is a prime number
BaseRepresentation
bin111111110001111…
…1000110001011101
312112011000001111222
41333203320301131
513340332122023
6552210023125
7104014445312
oct17743706135
95464001458
102140114013
119a9047374
124b8877aa5
132814c456b
1416432cd09
15c7d3ccc8
hex7f8f8c5d

2140114013 has 2 divisors, whose sum is σ = 2140114014. Its totient is φ = 2140114012.

The previous prime is 2140113991. The next prime is 2140114019. The reversal of 2140114013 is 3104110412.

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., 2075440249 + 64673764 = 45557^2 + 8042^2 .

It is a cyclic number.

It is not a de Polignac number, because 2140114013 - 230 = 1066372189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2140113982 and 2140114000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2140114019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1070057006 + 1070057007.

It is an arithmetic number, because the mean of its divisors is an integer number (1070057007).

Almost surely, 22140114013 is an apocalyptic number.

It is an amenable number.

2140114013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2140114013 is an equidigital number, since it uses as much as digits as its factorization.

2140114013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2140114013 is about 46261.3663114266. The cubic root of 2140114013 is about 1288.6816274705.

Adding to 2140114013 its reverse (3104110412), we get a palindrome (5244224425).

The spelling of 2140114013 in words is "two billion, one hundred forty million, one hundred fourteen thousand, thirteen".