Search a number
-
+
22123100009 is a prime number
BaseRepresentation
bin10100100110101000…
…111011011101101001
32010002210111220221102
4110212220323131221
5330302003200014
614055130451145
71412142150563
oct244650733551
963083456842
1022123100009
119422a0552a
124354b93ab5
1321174c2c2a
1410dc266333
158973478de
hex526a3b769

22123100009 has 2 divisors, whose sum is σ = 22123100010. Its totient is φ = 22123100008.

The previous prime is 22123099979. The next prime is 22123100033. The reversal of 22123100009 is 90000132122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20504808025 + 1618291984 = 143195^2 + 40228^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22123100009 is a prime.

It is not a weakly prime, because it can be changed into another prime (22123102009) 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, 11061550004 + 11061550005.

It is an arithmetic number, because the mean of its divisors is an integer number (11061550005).

Almost surely, 222123100009 is an apocalyptic number.

It is an amenable number.

22123100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

22123100009 is an equidigital number, since it uses as much as digits as its factorization.

22123100009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The spelling of 22123100009 in words is "twenty-two billion, one hundred twenty-three million, one hundred thousand, nine".