Search a number
-
+
2254455310661 is a prime number
BaseRepresentation
bin100000110011101000000…
…000100000100101000101
321222112010212101221100022
4200303220000200211011
5243414111024420121
64443403225224525
7321610334646521
oct40635000404505
97875125357308
102254455310661
1179a122281964
12304b18632145
13134795680958
147b18ac96d81
153d99c008aab
hex20ce8020945

2254455310661 has 2 divisors, whose sum is σ = 2254455310662. Its totient is φ = 2254455310660.

The previous prime is 2254455310631. The next prime is 2254455310663. The reversal of 2254455310661 is 1660135544522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1169222665636 + 1085232645025 = 1081306^2 + 1041745^2 .

It is a cyclic number.

It is not a de Polignac number, because 2254455310661 - 238 = 1979577403717 is a prime.

Together with 2254455310663, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2254455310663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1127227655330 + 1127227655331.

It is an arithmetic number, because the mean of its divisors is an integer number (1127227655331).

Almost surely, 22254455310661 is an apocalyptic number.

It is an amenable number.

2254455310661 is a deficient number, since it is larger than the sum of its proper divisors (1).

2254455310661 is an equidigital number, since it uses as much as digits as its factorization.

2254455310661 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 2254455310661 in words is "two trillion, two hundred fifty-four billion, four hundred fifty-five million, three hundred ten thousand, six hundred sixty-one".