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22132210993 is a prime number
BaseRepresentation
bin10100100111001011…
…101011110100110001
32010010102122210212021
4110213023223310301
5330311321222433
614100054031441
71412312455324
oct244713536461
963112583767
1022132210993
119428068772
124358048581
132119362c49
1410dd5587bb
1589804722d
hex5272ebd31

22132210993 has 2 divisors, whose sum is σ = 22132210994. Its totient is φ = 22132210992.

The previous prime is 22132210987. The next prime is 22132211027. The reversal of 22132210993 is 39901223122.

It is an a-pointer prime, because the next prime (22132211027) can be obtained adding 22132210993 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20547215649 + 1584995344 = 143343^2 + 39812^2 .

It is a cyclic number.

It is not a de Polignac number, because 22132210993 - 225 = 22098656561 is a prime.

It is not a weakly prime, because it can be changed into another prime (22132210973) 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, 11066105496 + 11066105497.

It is an arithmetic number, because the mean of its divisors is an integer number (11066105497).

Almost surely, 222132210993 is an apocalyptic number.

It is an amenable number.

22132210993 is a deficient number, since it is larger than the sum of its proper divisors (1).

22132210993 is an equidigital number, since it uses as much as digits as its factorization.

22132210993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 34.

The spelling of 22132210993 in words is "twenty-two billion, one hundred thirty-two million, two hundred ten thousand, nine hundred ninety-three".