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2122022100019 is a prime number
BaseRepresentation
bin11110111000010010010…
…111111001110000110011
321111212022100221210012211
4132320102113321300303
5234231400124200034
64302502110032551
7306211454145553
oct36702227716063
97455270853184
102122022100019
11748a43177648
122a3318aa8757
1312514b663013
14749c65a5163
153a2ea75dd64
hex1ee125f9c33

2122022100019 has 2 divisors, whose sum is σ = 2122022100020. Its totient is φ = 2122022100018.

The previous prime is 2122022099963. The next prime is 2122022100071. The reversal of 2122022100019 is 9100012202212.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2122022100019 - 29 = 2122022099507 is a prime.

It is a super-2 number, since 2×21220221000192 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2122022100719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061011050009 + 1061011050010.

It is an arithmetic number, because the mean of its divisors is an integer number (1061011050010).

Almost surely, 22122022100019 is an apocalyptic number.

2122022100019 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122022100019 is an equidigital number, since it uses as much as digits as its factorization.

2122022100019 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 2122022100019 in words is "two trillion, one hundred twenty-two billion, twenty-two million, one hundred thousand, nineteen".