Search a number
-
+
122321313031 is a prime number
BaseRepresentation
bin111000111101011101…
…0110001110100000111
3102200201210010112100011
41301322322301310013
54001003224004111
6132105454131051
711560144001611
oct1617272616407
9380653115304
10122321313031
1147970212a45
121b8591b0a87
13b6c50b2488
145cc5761db1
1532adb87021
hex1c7aeb1d07

122321313031 has 2 divisors, whose sum is σ = 122321313032. Its totient is φ = 122321313030.

The previous prime is 122321313007. The next prime is 122321313043. The reversal of 122321313031 is 130313123221.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122321313031 - 25 = 122321312999 is a prime.

It is a super-2 number, since 2×1223213130312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122321312993 and 122321313011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122321313061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61160656515 + 61160656516.

It is an arithmetic number, because the mean of its divisors is an integer number (61160656516).

Almost surely, 2122321313031 is an apocalyptic number.

122321313031 is a deficient number, since it is larger than the sum of its proper divisors (1).

122321313031 is an equidigital number, since it uses as much as digits as its factorization.

122321313031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 122321313031 its reverse (130313123221), we get a palindrome (252634436252).

The spelling of 122321313031 in words is "one hundred twenty-two billion, three hundred twenty-one million, three hundred thirteen thousand, thirty-one".