Search a number
-
+
122222021011009 is a prime number
BaseRepresentation
bin11011110010100100001000…
…001001010110011001000001
3121000202022101210022211120021
4123302210020021112121001
5112004441144334323014
61111540004334413441
734513151422144423
oct3362441011263101
9530668353284507
10122222021011009
1135a420825a2747
121185b543661281
1353276442aa82a
142227812490813
15e1e41de86624
hex6f2908256641

122222021011009 has 2 divisors, whose sum is σ = 122222021011010. Its totient is φ = 122222021011008.

The previous prime is 122222021010923. The next prime is 122222021011033. The reversal of 122222021011009 is 900110120222221.

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., 121615019526400 + 607001484609 = 11027920^2 + 779103^2 .

It is a cyclic number.

It is not a de Polignac number, because 122222021011009 - 211 = 122222021008961 is a prime.

It is not a weakly prime, because it can be changed into another prime (122222021011709) 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, 61111010505504 + 61111010505505.

It is an arithmetic number, because the mean of its divisors is an integer number (61111010505505).

Almost surely, 2122222021011009 is an apocalyptic number.

It is an amenable number.

122222021011009 is a deficient number, since it is larger than the sum of its proper divisors (1).

122222021011009 is an equidigital number, since it uses as much as digits as its factorization.

122222021011009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

The spelling of 122222021011009 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, twenty-one million, eleven thousand, nine".