Search a number
-
+
2221132010233 is a prime number
BaseRepresentation
bin100000010100100101110…
…010001101001011111001
321212100010111201212211011
4200110211302031023321
5242342334243311413
64420212435233521
7316320502402243
oct40244562151371
97770114655734
102221132010233
11786a8212a054
122ba5787488a1
131315b4938ac6
1479709329093
153cb9b77833d
hex20525c8d2f9

2221132010233 has 2 divisors, whose sum is σ = 2221132010234. Its totient is φ = 2221132010232.

The previous prime is 2221132010213. The next prime is 2221132010239. The reversal of 2221132010233 is 3320102311222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1825557681424 + 395574328809 = 1351132^2 + 628947^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2221132010233 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221132010239) 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, 1110566005116 + 1110566005117.

It is an arithmetic number, because the mean of its divisors is an integer number (1110566005117).

Almost surely, 22221132010233 is an apocalyptic number.

It is an amenable number.

2221132010233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221132010233 is an equidigital number, since it uses as much as digits as its factorization.

2221132010233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2221132010233 its reverse (3320102311222), we get a palindrome (5541234321455).

The spelling of 2221132010233 in words is "two trillion, two hundred twenty-one billion, one hundred thirty-two million, ten thousand, two hundred thirty-three".