Search a number
-
+
103240110401 is a prime number
BaseRepresentation
bin110000000100110010…
…1110001000101000001
3100212110222111000010122
41200021211301011001
53142413432013101
6115232225510025
710313246313341
oct1401145610501
9325428430118
10103240110401
113a869394a9a
1218012aa2315
139973b8312c
144dd54cad21
152a4390c51b
hex1809971141

103240110401 has 2 divisors, whose sum is σ = 103240110402. Its totient is φ = 103240110400.

The previous prime is 103240110359. The next prime is 103240110427. The reversal of 103240110401 is 104011042301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 58490938801 + 44749171600 = 241849^2 + 211540^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103240110401 is a prime.

It is a super-2 number, since 2×1032401104012 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 103240110401.

It is not a weakly prime, because it can be changed into another prime (103240110451) 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, 51620055200 + 51620055201.

It is an arithmetic number, because the mean of its divisors is an integer number (51620055201).

Almost surely, 2103240110401 is an apocalyptic number.

It is an amenable number.

103240110401 is a deficient number, since it is larger than the sum of its proper divisors (1).

103240110401 is an equidigital number, since it uses as much as digits as its factorization.

103240110401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 103240110401 its reverse (104011042301), we get a palindrome (207251152702).

The spelling of 103240110401 in words is "one hundred three billion, two hundred forty million, one hundred ten thousand, four hundred one".