Search a number
-
+
103707531761 is a prime number
BaseRepresentation
bin110000010010101110…
…0110101100111110001
3100220200120000110200212
41200211130311213301
53144343112004021
6115350444153505
710330653322001
oct1404534654761
9326616013625
10103707531761
113aa8921a639
1218123538895
139a1996c612
14503b602001
152a6e98c85b
hex18257359f1

103707531761 has 2 divisors, whose sum is σ = 103707531762. Its totient is φ = 103707531760.

The previous prime is 103707531757. The next prime is 103707531769. The reversal of 103707531761 is 167135707301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60289891600 + 43417640161 = 245540^2 + 208369^2 .

It is a cyclic number.

It is not a de Polignac number, because 103707531761 - 22 = 103707531757 is a prime.

It is a super-2 number, since 2×1037075317612 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (103707531769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51853765880 + 51853765881.

It is an arithmetic number, because the mean of its divisors is an integer number (51853765881).

Almost surely, 2103707531761 is an apocalyptic number.

It is an amenable number.

103707531761 is a deficient number, since it is larger than the sum of its proper divisors (1).

103707531761 is an equidigital number, since it uses as much as digits as its factorization.

103707531761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 92610, while the sum is 41.

The spelling of 103707531761 in words is "one hundred three billion, seven hundred seven million, five hundred thirty-one thousand, seven hundred sixty-one".