Search a number
-
+
12221013031 is a prime number
BaseRepresentation
bin10110110000110110…
…11101110000100111
31011112200222210020021
423120123131300213
5200012034404111
65340402420011
7611563616413
oct133033356047
934480883207
1012221013031
115201496a77
122450961607
1311c9b98376
1483d10dd43
154b7d7ad71
hex2d86ddc27

12221013031 has 2 divisors, whose sum is σ = 12221013032. Its totient is φ = 12221013030.

The previous prime is 12221012987. The next prime is 12221013059. The reversal of 12221013031 is 13031012221.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12221013031 - 215 = 12220980263 is a prime.

It is a super-2 number, since 2×122210130312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12221012996 and 12221013014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12221013061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6110506515 + 6110506516.

It is an arithmetic number, because the mean of its divisors is an integer number (6110506516).

Almost surely, 212221013031 is an apocalyptic number.

12221013031 is a deficient number, since it is larger than the sum of its proper divisors (1).

12221013031 is an equidigital number, since it uses as much as digits as its factorization.

12221013031 is an odious number, because the sum of its binary digits is odd.

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

Adding to 12221013031 its reverse (13031012221), we get a palindrome (25252025252).

The spelling of 12221013031 in words is "twelve billion, two hundred twenty-one million, thirteen thousand, thirty-one".