Search a number
-
+
1121031310313 is a prime number
BaseRepresentation
bin10000010100000010101…
…011000100101111101001
310222011120121012000202202
4100110002223010233221
5121331333003412223
62214554503305545
7143664125626025
oct20240253045751
93864517160682
101121031310313
113a2476a49792
1216131b14b2b5
13819360335a5
143c38872b385
151e262035428
hex10502ac4be9

1121031310313 has 2 divisors, whose sum is σ = 1121031310314. Its totient is φ = 1121031310312.

The previous prime is 1121031310303. The next prime is 1121031310339. The reversal of 1121031310313 is 3130131301211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 938114284969 + 182917025344 = 968563^2 + 427688^2 .

It is an emirp because it is prime and its reverse (3130131301211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1121031310313 - 28 = 1121031310057 is a prime.

It is a super-2 number, since 2×11210313103132 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1121031310303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 560515655156 + 560515655157.

It is an arithmetic number, because the mean of its divisors is an integer number (560515655157).

Almost surely, 21121031310313 is an apocalyptic number.

It is an amenable number.

1121031310313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1121031310313 is an equidigital number, since it uses as much as digits as its factorization.

1121031310313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1121031310313 its reverse (3130131301211), we get a palindrome (4251162611524).

The spelling of 1121031310313 in words is "one trillion, one hundred twenty-one billion, thirty-one million, three hundred ten thousand, three hundred thirteen".