Search a number
-
+
22131231313 is a prime number
BaseRepresentation
bin10100100111000111…
…111100101001010001
32010010100211000222211
4110213013330221101
5330311043400223
614100021032121
71412301235162
oct244707745121
963110730884
1022131231313
119427559714
124357855641
1321190ac059
1410dd381769
15897e01d0d
hex5271fca51

22131231313 has 2 divisors, whose sum is σ = 22131231314. Its totient is φ = 22131231312.

The previous prime is 22131231233. The next prime is 22131231341. The reversal of 22131231313 is 31313213122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21980138049 + 151093264 = 148257^2 + 12292^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22131231313 is a prime.

It is not a weakly prime, because it can be changed into another prime (22131231713) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11065615656 + 11065615657.

It is an arithmetic number, because the mean of its divisors is an integer number (11065615657).

Almost surely, 222131231313 is an apocalyptic number.

It is an amenable number.

22131231313 is a deficient number, since it is larger than the sum of its proper divisors (1).

22131231313 is an equidigital number, since it uses as much as digits as its factorization.

22131231313 is an evil number, because the sum of its binary digits is even.

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

Adding to 22131231313 its reverse (31313213122), we get a palindrome (53444444435).

The spelling of 22131231313 in words is "twenty-two billion, one hundred thirty-one million, two hundred thirty-one thousand, three hundred thirteen".