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2211200022257 is a prime number
BaseRepresentation
bin100000001011010101110…
…010101011011011110001
321211101111022221121122122
4200023111302223123301
5242212014201203012
64411451122244025
7315516412034132
oct40132562533361
97741438847578
102211200022257
11782845848526
122b86664b6615
13130691072345
147904622bc89
153c7b9851e72
hex202d5cab6f1

2211200022257 has 2 divisors, whose sum is σ = 2211200022258. Its totient is φ = 2211200022256.

The previous prime is 2211200022193. The next prime is 2211200022277. The reversal of 2211200022257 is 7522200021122.

It is a happy number.

2211200022257 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., 2204916130816 + 6283891441 = 1484896^2 + 79271^2 .

It is a cyclic number.

It is not a de Polignac number, because 2211200022257 - 26 = 2211200022193 is a prime.

It is not a weakly prime, because it can be changed into another prime (2211200022277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105600011128 + 1105600011129.

It is an arithmetic number, because the mean of its divisors is an integer number (1105600011129).

Almost surely, 22211200022257 is an apocalyptic number.

It is an amenable number.

2211200022257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2211200022257 is an equidigital number, since it uses as much as digits as its factorization.

2211200022257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2240, while the sum is 26.

Adding to 2211200022257 its reverse (7522200021122), we get a palindrome (9733400043379).

The spelling of 2211200022257 in words is "two trillion, two hundred eleven billion, two hundred million, twenty-two thousand, two hundred fifty-seven".