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21132210717133 is a prime number
BaseRepresentation
bin1001100111000001110011…
…11010011100000111001101
32202211012221002200020112221
410303200321322130013031
510232212231420422013
6112540000435055341
74310515611231505
oct463407172340715
982735832606487
1021132210717133
11680813604160a
122453692741551
13ba39b3468839
14530b395daa05
15269a6d59808d
hex133839e9c1cd

21132210717133 has 2 divisors, whose sum is σ = 21132210717134. Its totient is φ = 21132210717132.

The previous prime is 21132210717019. The next prime is 21132210717193. The reversal of 21132210717133 is 33171701223112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20473796940804 + 658413776329 = 4524798^2 + 811427^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21132210717133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21132210717193) 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, 10566105358566 + 10566105358567.

It is an arithmetic number, because the mean of its divisors is an integer number (10566105358567).

Almost surely, 221132210717133 is an apocalyptic number.

It is an amenable number.

21132210717133 is a deficient number, since it is larger than the sum of its proper divisors (1).

21132210717133 is an equidigital number, since it uses as much as digits as its factorization.

21132210717133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 34.

The spelling of 21132210717133 in words is "twenty-one trillion, one hundred thirty-two billion, two hundred ten million, seven hundred seventeen thousand, one hundred thirty-three".