Search a number
-
+
2220002010101 is a prime number
BaseRepresentation
bin100000010011100010011…
…011100110001111110101
321212020012202102221001102
4200103202123212033311
5242333031003310401
64415504351335445
7316250501510231
oct40234233461765
97766182387042
102220002010101
11786552294247
122ba302221585
131314647b3085
147963d21b5c1
153cb3246856b
hex204e26e63f5

2220002010101 has 2 divisors, whose sum is σ = 2220002010102. Its totient is φ = 2220002010100.

The previous prime is 2220002010091. The next prime is 2220002010133. The reversal of 2220002010101 is 1010102000222.

It is a happy number.

2220002010101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1996566174001 + 223435836100 = 1412999^2 + 472690^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220002010101 - 214 = 2220001993717 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2220002070101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110001005050 + 1110001005051.

It is an arithmetic number, because the mean of its divisors is an integer number (1110001005051).

Almost surely, 22220002010101 is an apocalyptic number.

It is an amenable number.

2220002010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220002010101 is an equidigital number, since it uses as much as digits as its factorization.

2220002010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2220002010101 its reverse (1010102000222), we get a palindrome (3230104010323).

The spelling of 2220002010101 in words is "two trillion, two hundred twenty billion, two million, ten thousand, one hundred one".