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610110113 is a prime number
BaseRepresentation
bin100100010111011…
…000101010100001
31120112000210201212
4210113120222201
52222142010423
6140312435505
721055564454
oct4427305241
91515023655
10610110113
11293433838
121503a8b95
1399528602
145b05949b
1538868578
hex245d8aa1

610110113 has 2 divisors, whose sum is σ = 610110114. Its totient is φ = 610110112.

The previous prime is 610110103. The next prime is 610110157. The reversal of 610110113 is 311011016.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 591851584 + 18258529 = 24328^2 + 4273^2 .

It is a cyclic number.

It is not a de Polignac number, because 610110113 - 26 = 610110049 is a prime.

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 (610110103) 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, 305055056 + 305055057.

It is an arithmetic number, because the mean of its divisors is an integer number (305055057).

Almost surely, 2610110113 is an apocalyptic number.

It is an amenable number.

610110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

610110113 is an equidigital number, since it uses as much as digits as its factorization.

610110113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

The square root of 610110113 is about 24700.4071423934. The cubic root of 610110113 is about 848.1436363914.

Adding to 610110113 its reverse (311011016), we get a palindrome (921121129).

The spelling of 610110113 in words is "six hundred ten million, one hundred ten thousand, one hundred thirteen".