Search a number
-
+
22321303001 is a prime number
BaseRepresentation
bin10100110010011101…
…000000110111011001
32010121121110200022222
4110302131000313121
5331203223144001
614130530553425
71420066642064
oct246235006731
963547420288
1022321303001
119514880358
1243ab438875
13214959b2ca
14111a6db8db
158a994961b
hex532740dd9

22321303001 has 2 divisors, whose sum is σ = 22321303002. Its totient is φ = 22321303000.

The previous prime is 22321302977. The next prime is 22321303013. The reversal of 22321303001 is 10030312322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18817254976 + 3504048025 = 137176^2 + 59195^2 .

It is a cyclic number.

It is not a de Polignac number, because 22321303001 - 218 = 22321040857 is a prime.

It is a super-3 number, since 3×223213030013 (a number of 32 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (22321303021) 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, 11160651500 + 11160651501.

It is an arithmetic number, because the mean of its divisors is an integer number (11160651501).

Almost surely, 222321303001 is an apocalyptic number.

It is an amenable number.

22321303001 is a deficient number, since it is larger than the sum of its proper divisors (1).

22321303001 is an equidigital number, since it uses as much as digits as its factorization.

22321303001 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 22321303001 its reverse (10030312322), we get a palindrome (32351615323).

The spelling of 22321303001 in words is "twenty-two billion, three hundred twenty-one million, three hundred three thousand, one".