Search a number
-
+
2220201012137 is a prime number
BaseRepresentation
bin100000010011101110010…
…010101110101110101001
321212020201121220021112012
4200103232102232232221
5242333432424342022
64415540220525305
7316255436140133
oct40235622565651
97766647807465
102220201012137
11786644655439
122ba3589b0835
13131496aab064
147965b820053
153cb44b76de2
hex204ee4aeba9

2220201012137 has 2 divisors, whose sum is σ = 2220201012138. Its totient is φ = 2220201012136.

The previous prime is 2220201012119. The next prime is 2220201012143. The reversal of 2220201012137 is 7312101020222.

2220201012137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1607775816361 + 612425195776 = 1267981^2 + 782576^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220201012137 - 28 = 2220201011881 is a prime.

It is not a weakly prime, because it can be changed into another prime (2220201012167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110100506068 + 1110100506069.

It is an arithmetic number, because the mean of its divisors is an integer number (1110100506069).

Almost surely, 22220201012137 is an apocalyptic number.

It is an amenable number.

2220201012137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220201012137 is an equidigital number, since it uses as much as digits as its factorization.

2220201012137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 2220201012137 its reverse (7312101020222), we get a palindrome (9532302032359).

The spelling of 2220201012137 in words is "two trillion, two hundred twenty billion, two hundred one million, twelve thousand, one hundred thirty-seven".