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22133000321 is a prime number
BaseRepresentation
bin10100100111001110…
…101100100010000001
32010010111010220121122
4110213032230202001
5330312022002241
614100123002025
71412322253505
oct244716544201
963114126548
1022133000321
119428557803
124358369315
13211957b2c3
1410dd6c2305
1589815104b
hex5273ac881

22133000321 has 2 divisors, whose sum is σ = 22133000322. Its totient is φ = 22133000320.

The previous prime is 22133000251. The next prime is 22133000327. The reversal of 22133000321 is 12300033122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20193831025 + 1939169296 = 142105^2 + 44036^2 .

It is a cyclic number.

It is not a de Polignac number, because 22133000321 - 210 = 22132999297 is a prime.

It is a super-2 number, since 2×221330003212 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22133000321.

It is not a weakly prime, because it can be changed into another prime (22133000327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11066500160 + 11066500161.

It is an arithmetic number, because the mean of its divisors is an integer number (11066500161).

Almost surely, 222133000321 is an apocalyptic number.

It is an amenable number.

22133000321 is a deficient number, since it is larger than the sum of its proper divisors (1).

22133000321 is an equidigital number, since it uses as much as digits as its factorization.

22133000321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 22133000321 its reverse (12300033122), we get a palindrome (34433033443).

The spelling of 22133000321 in words is "twenty-two billion, one hundred thirty-three million, three hundred twenty-one", and thus it is an aban number.