Search a number
-
+
2153136114413 is a prime number
BaseRepresentation
bin11111010101010000111…
…010011100101011101101
321121211121202110111001022
4133111100322130223231
5240234110321130123
64325045335223525
7311362502000024
oct37252072345355
97554552414038
102153136114413
1176015a228129
122a9360b17ba5
1312806977491b
14762d89598bb
153b01c08b1c8
hex1f550e9caed

2153136114413 has 2 divisors, whose sum is σ = 2153136114414. Its totient is φ = 2153136114412.

The previous prime is 2153136114407. The next prime is 2153136114431. The reversal of 2153136114413 is 3144116313512.

It is a happy number.

Together with next prime (2153136114431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2095537074409 + 57599040004 = 1447597^2 + 239998^2 .

It is a cyclic number.

It is not a de Polignac number, because 2153136114413 - 212 = 2153136110317 is a prime.

It is a super-2 number, since 2×21531361144132 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2153136114443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1076568057206 + 1076568057207.

It is an arithmetic number, because the mean of its divisors is an integer number (1076568057207).

Almost surely, 22153136114413 is an apocalyptic number.

It is an amenable number.

2153136114413 is a deficient number, since it is larger than the sum of its proper divisors (1).

2153136114413 is an equidigital number, since it uses as much as digits as its factorization.

2153136114413 is an evil number, because the sum of its binary digits is even.

The product of its digits is 25920, while the sum is 35.

The spelling of 2153136114413 in words is "two trillion, one hundred fifty-three billion, one hundred thirty-six million, one hundred fourteen thousand, four hundred thirteen".