Search a number
-
+
22131231322273 is a prime number
BaseRepresentation
bin1010000100000110101000…
…01011100111000010100001
32220100201120120012020212021
411002003110023213002201
510400044230204303043
6115022540341501441
74442633354246113
oct502032413470241
986321516166767
1022131231322273
117062891137667
122595220711881
13c46c7385cb98
1456722b93b3b3
15285a3dd4d3ed
hex1420d42e70a1

22131231322273 has 2 divisors, whose sum is σ = 22131231322274. Its totient is φ = 22131231322272.

The previous prime is 22131231322247. The next prime is 22131231322349. The reversal of 22131231322273 is 37222313213122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14814893376144 + 7316337946129 = 3849012^2 + 2704873^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22131231322273 is a prime.

It is not a weakly prime, because it can be changed into another prime (22131231322373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11065615661136 + 11065615661137.

It is an arithmetic number, because the mean of its divisors is an integer number (11065615661137).

Almost surely, 222131231322273 is an apocalyptic number.

It is an amenable number.

22131231322273 is a deficient number, since it is larger than the sum of its proper divisors (1).

22131231322273 is an equidigital number, since it uses as much as digits as its factorization.

22131231322273 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36288, while the sum is 34.

Adding to 22131231322273 its reverse (37222313213122), we get a palindrome (59353544535395).

The spelling of 22131231322273 in words is "twenty-two trillion, one hundred thirty-one billion, two hundred thirty-one million, three hundred twenty-two thousand, two hundred seventy-three".