Search a number
-
+
103122220129 is a prime number
BaseRepresentation
bin110000000001010010…
…0000011010001100001
3100212011202122120002021
41200002210003101201
53142143242021004
6115212415021441
710310315260045
oct1400244032141
9325152576067
10103122220129
113a808894315
1217b9b50a881
139955617586
144dc39a0025
152a383c1d54
hex1802903461

103122220129 has 2 divisors, whose sum is σ = 103122220130. Its totient is φ = 103122220128.

The previous prime is 103122220093. The next prime is 103122220153. The reversal of 103122220129 is 921022221301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100844353600 + 2277866529 = 317560^2 + 47727^2 .

It is a cyclic number.

It is not a de Polignac number, because 103122220129 - 213 = 103122211937 is a prime.

It is not a weakly prime, because it can be changed into another prime (103122220199) 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, 51561110064 + 51561110065.

It is an arithmetic number, because the mean of its divisors is an integer number (51561110065).

Almost surely, 2103122220129 is an apocalyptic number.

It is an amenable number.

103122220129 is a deficient number, since it is larger than the sum of its proper divisors (1).

103122220129 is an equidigital number, since it uses as much as digits as its factorization.

103122220129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 103122220129 in words is "one hundred three billion, one hundred twenty-two million, two hundred twenty thousand, one hundred twenty-nine".