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10022233229 is a prime number
BaseRepresentation
bin10010101010101111…
…10010010010001101
3221212110121012101022
421111113302102031
5131011142430404
64334255123525
7503234401601
oct112527622215
927773535338
1010022233229
114283320188
121b385135a5
13c394a3228
146b10ad501
153d9d008be
hex2555f248d

10022233229 has 2 divisors, whose sum is σ = 10022233230. Its totient is φ = 10022233228.

The previous prime is 10022233211. The next prime is 10022233231. The reversal of 10022233229 is 92233222001.

10022233229 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., 6560676004 + 3461557225 = 80998^2 + 58835^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10022233229 is a prime.

Together with 10022233231, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10022233198 and 10022233207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022233289) 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, 5011116614 + 5011116615.

It is an arithmetic number, because the mean of its divisors is an integer number (5011116615).

Almost surely, 210022233229 is an apocalyptic number.

It is an amenable number.

10022233229 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022233229 is an equidigital number, since it uses as much as digits as its factorization.

10022233229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 10022233229 in words is "ten billion, twenty-two million, two hundred thirty-three thousand, two hundred twenty-nine".