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2200211200961 is a prime number
BaseRepresentation
bin100000000001000110110…
…011101001101111000001
321210100010111112122201022
4200001012303221233001
5242022013031412321
64402432453515225
7314650166430224
oct40010663515701
97710114478638
102200211200961
11779116955434
122b64ba342b15
1312c62c55cc17
14786c2a2b5bb
153c374c6edab
hex20046ce9bc1

2200211200961 has 2 divisors, whose sum is σ = 2200211200962. Its totient is φ = 2200211200960.

The previous prime is 2200211200951. The next prime is 2200211201029. The reversal of 2200211200961 is 1690021120022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1138371633025 + 1061839567936 = 1066945^2 + 1030456^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200211200961 - 26 = 2200211200897 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2200211200961.

It is not a weakly prime, because it can be changed into another prime (2200211200951) 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, 1100105600480 + 1100105600481.

It is an arithmetic number, because the mean of its divisors is an integer number (1100105600481).

Almost surely, 22200211200961 is an apocalyptic number.

It is an amenable number.

2200211200961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200211200961 is an equidigital number, since it uses as much as digits as its factorization.

2200211200961 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 26.

Adding to 2200211200961 its reverse (1690021120022), we get a palindrome (3890232320983).

The spelling of 2200211200961 in words is "two trillion, two hundred billion, two hundred eleven million, two hundred thousand, nine hundred sixty-one".