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10223132021 is a prime number
BaseRepresentation
bin10011000010101100…
…01001110101110101
3222101110121220201022
421201112021311311
5131414110211041
64410233110525
7511224121424
oct114126116565
928343556638
1010223132021
114376767443
121b93858445
13c6bcb365b
146cda472bb
153ec78624b
hex261589d75

10223132021 has 2 divisors, whose sum is σ = 10223132022. Its totient is φ = 10223132020.

The previous prime is 10223131991. The next prime is 10223132033. The reversal of 10223132021 is 12023132201.

10223132021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9359595025 + 863536996 = 96745^2 + 29386^2 .

It is an emirp because it is prime and its reverse (12023132201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10223132021 is a prime.

It is a super-3 number, since 3×102231320213 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10223132041) 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, 5111566010 + 5111566011.

It is an arithmetic number, because the mean of its divisors is an integer number (5111566011).

Almost surely, 210223132021 is an apocalyptic number.

It is an amenable number.

10223132021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223132021 is an equidigital number, since it uses as much as digits as its factorization.

10223132021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10223132021 its reverse (12023132201), we get a palindrome (22246264222).

The spelling of 10223132021 in words is "ten billion, two hundred twenty-three million, one hundred thirty-two thousand, twenty-one".