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22120209938993 is a prime number
BaseRepresentation
bin1010000011110010000110…
…10000010111101000110001
32220022200010110111222021112
411001321003100113220301
510344404142221021433
6115013514551203105
74442063265113255
oct501710320275061
986280113458245
1022120209938993
117059145924241
122593065676495
13c45c0838960a
145668a3ca2265
152855e6488348
hex141e43417a31

22120209938993 has 2 divisors, whose sum is σ = 22120209938994. Its totient is φ = 22120209938992.

The previous prime is 22120209938977. The next prime is 22120209938999. The reversal of 22120209938993 is 39983990202122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15833897347489 + 6286312591504 = 3979183^2 + 2507252^2 .

It is a cyclic number.

It is not a de Polignac number, because 22120209938993 - 24 = 22120209938977 is a prime.

It is not a weakly prime, because it can be changed into another prime (22120209938999) 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, 11060104969496 + 11060104969497.

It is an arithmetic number, because the mean of its divisors is an integer number (11060104969497).

Almost surely, 222120209938993 is an apocalyptic number.

It is an amenable number.

22120209938993 is a deficient number, since it is larger than the sum of its proper divisors (1).

22120209938993 is an equidigital number, since it uses as much as digits as its factorization.

22120209938993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7558272, while the sum is 59.

The spelling of 22120209938993 in words is "twenty-two trillion, one hundred twenty billion, two hundred nine million, nine hundred thirty-eight thousand, nine hundred ninety-three".