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10211009981 is a prime number
BaseRepresentation
bin10011000001001111…
…11010010110111101
3222100121211001101212
421200213322112331
5131403004304411
64405121214205
7511016103254
oct114047722675
928317731355
1010211009981
11436a937a27
121b8b791365
13c6962ac53
146cc1ad79b
153eb68e68b
hex2609fa5bd

10211009981 has 2 divisors, whose sum is σ = 10211009982. Its totient is φ = 10211009980.

The previous prime is 10211009953. The next prime is 10211009983. The reversal of 10211009981 is 18990011201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9589305625 + 621704356 = 97925^2 + 24934^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10211009981 is a prime.

It is a super-2 number, since 2×102110099812 (a number of 21 digits) contains 22 as substring.

Together with 10211009983, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10211009983) 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, 5105504990 + 5105504991.

It is an arithmetic number, because the mean of its divisors is an integer number (5105504991).

Almost surely, 210211009981 is an apocalyptic number.

It is an amenable number.

10211009981 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211009981 is an equidigital number, since it uses as much as digits as its factorization.

10211009981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 32.

The spelling of 10211009981 in words is "ten billion, two hundred eleven million, nine thousand, nine hundred eighty-one".