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2220002201101 is a prime number
BaseRepresentation
bin100000010011100010011…
…100010100111000001101
321212020012202210122001111
4200103202130110320031
5242333031030413401
64415504355412021
7316250503234126
oct40234234247015
97766182718044
102220002201101
117865524047a3
122ba3022b4011
1313146484bca9
147963d26b04d
153cb324a4e51
hex204e2714e0d

2220002201101 has 2 divisors, whose sum is σ = 2220002201102. Its totient is φ = 2220002201100.

The previous prime is 2220002201089. The next prime is 2220002201117. The reversal of 2220002201101 is 1011022000222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2081819008201 + 138183192900 = 1442851^2 + 371730^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220002201101 - 29 = 2220002200589 is a prime.

It is a super-2 number, since 2×22200022011012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2220002201201) 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, 1110001100550 + 1110001100551.

It is an arithmetic number, because the mean of its divisors is an integer number (1110001100551).

Almost surely, 22220002201101 is an apocalyptic number.

It is an amenable number.

2220002201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220002201101 is an equidigital number, since it uses as much as digits as its factorization.

2220002201101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2220002201101 its reverse (1011022000222), we get a palindrome (3231024201323).

The spelling of 2220002201101 in words is "two trillion, two hundred twenty billion, two million, two hundred one thousand, one hundred one".