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10211009993 is a prime number
BaseRepresentation
bin10011000001001111…
…11010010111001001
3222100121211001102022
421200213322113021
5131403004304433
64405121214225
7511016103302
oct114047722711
928317731368
1010211009993
11436a937a38
121b8b791375
13c6962ac62
146cc1ad7a9
153eb68e698
hex2609fa5c9

10211009993 has 2 divisors, whose sum is σ = 10211009994. Its totient is φ = 10211009992.

The previous prime is 10211009983. The next prime is 10211010013. The reversal of 10211009993 is 39990011201.

10211009993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6763911049 + 3447098944 = 82243^2 + 58712^2 .

It is a cyclic number.

It is not a de Polignac number, because 10211009993 - 214 = 10210993609 is a prime.

It is not a weakly prime, because it can be changed into another prime (10211009933) 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, 5105504996 + 5105504997.

It is an arithmetic number, because the mean of its divisors is an integer number (5105504997).

Almost surely, 210211009993 is an apocalyptic number.

It is an amenable number.

10211009993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211009993 is an equidigital number, since it uses as much as digits as its factorization.

10211009993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 35.

The spelling of 10211009993 in words is "ten billion, two hundred eleven million, nine thousand, nine hundred ninety-three".