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22122004097 is a prime number
BaseRepresentation
bin10100100110100100…
…101111111010000001
32010002201110020122002
4110212210233322001
5330301213112342
614055051153345
71412126634524
oct244644577201
963081406562
1022122004097
119422327116
124354745855
1321171cb16b
1410dc05cbbb
158971ccd32
hex52692fe81

22122004097 has 2 divisors, whose sum is σ = 22122004098. Its totient is φ = 22122004096.

The previous prime is 22122004067. The next prime is 22122004127. The reversal of 22122004097 is 79040022122.

It is a balanced prime because it is at equal distance from previous prime (22122004067) and next prime (22122004127).

It can be written as a sum of positive squares in only one way, i.e., 15266826481 + 6855177616 = 123559^2 + 82796^2 .

It is a cyclic number.

It is not a de Polignac number, because 22122004097 - 230 = 21048262273 is a prime.

It is not a weakly prime, because it can be changed into another prime (22122004067) 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, 11061002048 + 11061002049.

It is an arithmetic number, because the mean of its divisors is an integer number (11061002049).

Almost surely, 222122004097 is an apocalyptic number.

It is an amenable number.

22122004097 is a deficient number, since it is larger than the sum of its proper divisors (1).

22122004097 is an equidigital number, since it uses as much as digits as its factorization.

22122004097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 22122004097 in words is "twenty-two billion, one hundred twenty-two million, four thousand, ninety-seven".