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22101200210993 is a prime number
BaseRepresentation
bin1010000011001110101100…
…01100000000110000110001
32220020212001122100201211112
411001213112030000300301
510344101224223222433
6115001052354523105
74440521226102611
oct501472614006061
986225048321745
1022101200210993
117051080384232
12258b43b296495
13c44198bc4057
145659bd314a41
15284d8262b348
hex1419d6300c31

22101200210993 has 2 divisors, whose sum is σ = 22101200210994. Its totient is φ = 22101200210992.

The previous prime is 22101200210989. The next prime is 22101200211071. The reversal of 22101200210993 is 39901200210122.

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., 21706122594289 + 395077616704 = 4658983^2 + 628552^2 .

It is a cyclic number.

It is not a de Polignac number, because 22101200210993 - 22 = 22101200210989 is a prime.

It is not a weakly prime, because it can be changed into another prime (22101200210963) 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, 11050600105496 + 11050600105497.

It is an arithmetic number, because the mean of its divisors is an integer number (11050600105497).

Almost surely, 222101200210993 is an apocalyptic number.

It is an amenable number.

22101200210993 is a deficient number, since it is larger than the sum of its proper divisors (1).

22101200210993 is an equidigital number, since it uses as much as digits as its factorization.

22101200210993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 22101200210993 in words is "twenty-two trillion, one hundred one billion, two hundred million, two hundred ten thousand, nine hundred ninety-three".