Search a number
-
+
22212022123013 is a prime number
BaseRepresentation
bin1010000110011101000111…
…01100000011101000000101
32220122110010000100011112112
411003032203230003220011
510402410210130414023
6115124021225030405
74451523420601202
oct503164354035005
986573100304475
1022212022123013
11709407a470a78
1225a8a09325405
13c5177a776618
1456b0d3728ca9
15287bbb978478
hex1433a3b03a05

22212022123013 has 2 divisors, whose sum is σ = 22212022123014. Its totient is φ = 22212022123012.

The previous prime is 22212022123003. The next prime is 22212022123021. The reversal of 22212022123013 is 31032122021222.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12902701073089 + 9309321049924 = 3592033^2 + 3051118^2 .

It is a cyclic number.

It is not a de Polignac number, because 22212022123013 - 230 = 22210948381189 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22212022123013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22212022123003) 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, 11106011061506 + 11106011061507.

It is an arithmetic number, because the mean of its divisors is an integer number (11106011061507).

Almost surely, 222212022123013 is an apocalyptic number.

It is an amenable number.

22212022123013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22212022123013 is an equidigital number, since it uses as much as digits as its factorization.

22212022123013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 22212022123013 its reverse (31032122021222), we get a palindrome (53244144144235).

The spelling of 22212022123013 in words is "twenty-two trillion, two hundred twelve billion, twenty-two million, one hundred twenty-three thousand, thirteen".