Search a number
-
+
103221210013 is a prime number
BaseRepresentation
bin110000000100001110…
…1101010101110011101
3100212102122220202200021
41200020131222232131
53142344112210023
6115230312432141
710312626544225
oct1401035525635
9325378822607
10103221210013
113a859755939
12180086a8651
13996cc9637c
144dd2bab085
152a41e2735d
hex180876ab9d

103221210013 has 2 divisors, whose sum is σ = 103221210014. Its totient is φ = 103221210012.

The previous prime is 103221209983. The next prime is 103221210023. The reversal of 103221210013 is 310012122301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71921585124 + 31299624889 = 268182^2 + 176917^2 .

It is a cyclic number.

It is not a de Polignac number, because 103221210013 - 213 = 103221201821 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103221210023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51610605006 + 51610605007.

It is an arithmetic number, because the mean of its divisors is an integer number (51610605007).

Almost surely, 2103221210013 is an apocalyptic number.

It is an amenable number.

103221210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

103221210013 is an equidigital number, since it uses as much as digits as its factorization.

103221210013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 103221210013 its reverse (310012122301), we get a palindrome (413233332314).

The spelling of 103221210013 in words is "one hundred three billion, two hundred twenty-one million, two hundred ten thousand, thirteen".