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22121010011993 is a prime number
BaseRepresentation
bin1010000011110011100101…
…11100011001111101011001
32220022202012012222220002212
411001321302330121331121
510344412312030340433
6115014130211404505
74442122151452514
oct501716274317531
986282165886085
1022121010011993
1170595165049a2
1225932495b3735
13c460050667a9
1456693c249d7b
15285641826d48
hex141e72f19f59

22121010011993 has 2 divisors, whose sum is σ = 22121010011994. Its totient is φ = 22121010011992.

The previous prime is 22121010011927. The next prime is 22121010012103. The reversal of 22121010011993 is 39911001012122.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13138689321289 + 8982320690704 = 3624733^2 + 2997052^2 .

It is a cyclic number.

It is not a de Polignac number, because 22121010011993 - 210 = 22121010010969 is a prime.

It is not a weakly prime, because it can be changed into another prime (22121010014993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11060505005996 + 11060505005997.

It is an arithmetic number, because the mean of its divisors is an integer number (11060505005997).

Almost surely, 222121010011993 is an apocalyptic number.

It is an amenable number.

22121010011993 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121010011993 is an equidigital number, since it uses as much as digits as its factorization.

22121010011993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 32.

The spelling of 22121010011993 in words is "twenty-two trillion, one hundred twenty-one billion, ten million, eleven thousand, nine hundred ninety-three".