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2200001100221 is a prime number
BaseRepresentation
bin100000000000111010010…
…010001011100110111101
321210022120212012102200102
4200000322102023212331
5242021100240201341
64402355550410445
7314642035543511
oct40007222134675
97708525172612
102200001100221
117790192a3661
122b645bb00a25
1312c5c7b7a262
14786a2b7a141
153c3615bcc9b
hex2003a48b9bd

2200001100221 has 2 divisors, whose sum is σ = 2200001100222. Its totient is φ = 2200001100220.

The previous prime is 2200001100197. The next prime is 2200001100223. The reversal of 2200001100221 is 1220011000022.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1464499327225 + 735501772996 = 1210165^2 + 857614^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2200001100221 is a prime.

It is a super-2 number, since 2×22000011002212 (a number of 25 digits) contains 22 as substring.

Together with 2200001100223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2200001100223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100000550110 + 1100000550111.

It is an arithmetic number, because the mean of its divisors is an integer number (1100000550111).

Almost surely, 22200001100221 is an apocalyptic number.

It is an amenable number.

2200001100221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200001100221 is an equidigital number, since it uses as much as digits as its factorization.

2200001100221 is an evil number, because the sum of its binary digits is even.

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

Adding to 2200001100221 its reverse (1220011000022), we get a palindrome (3420012100243).

The spelling of 2200001100221 in words is "two trillion, two hundred billion, one million, one hundred thousand, two hundred twenty-one".