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103113310961 is a prime number
BaseRepresentation
bin110000000001000001…
…0000100001011110001
3100212011010212221000002
41200002002010023301
53142134001422321
6115211500035345
710310146452563
oct1400202041361
9325133787002
10103113310961
113a803859771
1217b98532b55
13995381838b
144dc2721333
152a3771220b
hex18020842f1

103113310961 has 2 divisors, whose sum is σ = 103113310962. Its totient is φ = 103113310960.

The previous prime is 103113310933. The next prime is 103113311017. The reversal of 103113310961 is 169013311301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64272390400 + 38840920561 = 253520^2 + 197081^2 .

It is an emirp because it is prime and its reverse (169013311301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103113310961 is a prime.

It is not a weakly prime, because it can be changed into another prime (103113310931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51556655480 + 51556655481.

It is an arithmetic number, because the mean of its divisors is an integer number (51556655481).

Almost surely, 2103113310961 is an apocalyptic number.

It is an amenable number.

103113310961 is a deficient number, since it is larger than the sum of its proper divisors (1).

103113310961 is an equidigital number, since it uses as much as digits as its factorization.

103113310961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 29.

The spelling of 103113310961 in words is "one hundred three billion, one hundred thirteen million, three hundred ten thousand, nine hundred sixty-one".