Search a number
-
+
103131001222213 is a prime number
BaseRepresentation
bin10111011100110000001110…
…101100010111010001000101
3111112011020010210111102000211
4113130300032230113101011
5102004144242303102323
61003201421121035421
730502653231335026
oct2734601654272105
9445136123442024
10103131001222213
112a951680630058
12b69758b785b71
13457129a0c4c43
141b677d215cc4d
15bdca19bea70d
hex5dcc0eb17445

103131001222213 has 2 divisors, whose sum is σ = 103131001222214. Its totient is φ = 103131001222212.

The previous prime is 103131001222201. The next prime is 103131001222267. The reversal of 103131001222213 is 312222100131301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102049636249444 + 1081364972769 = 10101962^2 + 1039887^2 .

It is a cyclic number.

It is not a de Polignac number, because 103131001222213 - 25 = 103131001222181 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103131001222813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51565500611106 + 51565500611107.

It is an arithmetic number, because the mean of its divisors is an integer number (51565500611107).

Almost surely, 2103131001222213 is an apocalyptic number.

It is an amenable number.

103131001222213 is a deficient number, since it is larger than the sum of its proper divisors (1).

103131001222213 is an equidigital number, since it uses as much as digits as its factorization.

103131001222213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 103131001222213 its reverse (312222100131301), we get a palindrome (415353101353514).

The spelling of 103131001222213 in words is "one hundred three trillion, one hundred thirty-one billion, one million, two hundred twenty-two thousand, two hundred thirteen".