Search a number
-
+
2221122001213 is a prime number
BaseRepresentation
bin100000010100100101001…
…100000001100100111101
321212100002210220101000201
4200110211030001210331
5242342324213014323
64420211440523501
7316320321334363
oct40244514014475
97770083811021
102221122001213
11786a77513135
122ba575320591
131315b28430cb
1479707c81633
153cb9a94c8ad
hex2052530193d

2221122001213 has 2 divisors, whose sum is σ = 2221122001214. Its totient is φ = 2221122001212.

The previous prime is 2221122001123. The next prime is 2221122001337. The reversal of 2221122001213 is 3121002211222.

Together with previous prime (2221122001123) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2132426440089 + 88695561124 = 1460283^2 + 297818^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221122001213 - 29 = 2221122000701 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2221122091213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110561000606 + 1110561000607.

It is an arithmetic number, because the mean of its divisors is an integer number (1110561000607).

Almost surely, 22221122001213 is an apocalyptic number.

It is an amenable number.

2221122001213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221122001213 is an equidigital number, since it uses as much as digits as its factorization.

2221122001213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 2221122001213 its reverse (3121002211222), we get a palindrome (5342124212435).

The spelling of 2221122001213 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-two million, one thousand, two hundred thirteen".