Search a number
-
+
103604463414131 is a prime number
BaseRepresentation
bin10111100011101001001011…
…001111010010101101110011
3111120211111020012010210100112
4113203221023033102231303
5102034423420113223011
61004203122231011535
730552114120506501
oct2743511317225563
9446744205123315
10103604463414131
11300144516a8559
12b7532a5209bab
1345a6b2223a2a4
141b826a8a93671
15be9ecab4458b
hex5e3a4b3d2b73

103604463414131 has 2 divisors, whose sum is σ = 103604463414132. Its totient is φ = 103604463414130.

The previous prime is 103604463414083. The next prime is 103604463414157. The reversal of 103604463414131 is 131414364406301.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 103604463414131 - 222 = 103604459219827 is a prime.

It is a super-4 number, since 4×1036044634141314 (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (103604463414191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51802231707065 + 51802231707066.

It is an arithmetic number, because the mean of its divisors is an integer number (51802231707066).

Almost surely, 2103604463414131 is an apocalyptic number.

103604463414131 is a deficient number, since it is larger than the sum of its proper divisors (1).

103604463414131 is an equidigital number, since it uses as much as digits as its factorization.

103604463414131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 103604463414131 in words is "one hundred three trillion, six hundred four billion, four hundred sixty-three million, four hundred fourteen thousand, one hundred thirty-one".