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10022000369 is a prime number
BaseRepresentation
bin10010101010101101…
…11001011011110001
3221212110011100221212
421111112321123301
5131011113002434
64334250125505
7503232411653
oct112526713361
927773140855
1010022000369
114283181237
121b38420895
13c39421244
146b104c6d3
153d9ca68ce
hex2555b96f1

10022000369 has 2 divisors, whose sum is σ = 10022000370. Its totient is φ = 10022000368.

The previous prime is 10022000309. The next prime is 10022000371. The reversal of 10022000369 is 96300022001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8675991025 + 1346009344 = 93145^2 + 36688^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022000369 - 28 = 10022000113 is a prime.

It is a super-2 number, since 2×100220003692 (a number of 21 digits) contains 22 as substring.

Together with 10022000371, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10022000309) 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, 5011000184 + 5011000185.

It is an arithmetic number, because the mean of its divisors is an integer number (5011000185).

Almost surely, 210022000369 is an apocalyptic number.

It is an amenable number.

10022000369 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022000369 is an equidigital number, since it uses as much as digits as its factorization.

10022000369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The spelling of 10022000369 in words is "ten billion, twenty-two million, three hundred sixty-nine", and thus it is an aban number.