Search a number
-
+
103616201302309 is a prime number
BaseRepresentation
bin10111100011110100000110…
…110111110010000100100101
3111120212121112020001021212201
4113203310012313302010211
5102040121440013133214
61004212343054414501
730553011030065023
oct2743640667620445
9446777466037781
10103616201302309
1130019425403693
12b755620201431
1345a7c72cab557
141b8309d961713
15bea46638c274
hex5e3d06df2125

103616201302309 has 2 divisors, whose sum is σ = 103616201302310. Its totient is φ = 103616201302308.

The previous prime is 103616201302267. The next prime is 103616201302363. The reversal of 103616201302309 is 903203102616301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102740077222084 + 876124080225 = 10136078^2 + 936015^2 .

It is an emirp because it is prime and its reverse (903203102616301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103616201302309 is a prime.

It is a super-3 number, since 3×1036162013023093 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103616201302109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51808100651154 + 51808100651155.

It is an arithmetic number, because the mean of its divisors is an integer number (51808100651155).

Almost surely, 2103616201302309 is an apocalyptic number.

It is an amenable number.

103616201302309 is a deficient number, since it is larger than the sum of its proper divisors (1).

103616201302309 is an equidigital number, since it uses as much as digits as its factorization.

103616201302309 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34992, while the sum is 37.

The spelling of 103616201302309 in words is "one hundred three trillion, six hundred sixteen billion, two hundred one million, three hundred two thousand, three hundred nine".