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2220210020257 is a prime number
BaseRepresentation
bin100000010011101110110…
…101000101111110100001
321212020202020211221100021
4200103232311011332201
5242333442231122012
64415541141553441
7316255605535645
oct40235665057641
97766666757307
102220210020257
11786649748369
122ba35ba15881
131314989132c8
147965cac6c25
153cb45856007
hex204eed45fa1

2220210020257 has 2 divisors, whose sum is σ = 2220210020258. Its totient is φ = 2220210020256.

The previous prime is 2220210020213. The next prime is 2220210020261. The reversal of 2220210020257 is 7520200120222.

2220210020257 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., 1774906049536 + 445303970721 = 1332256^2 + 667311^2 .

It is a cyclic number.

It is not a de Polignac number, because 2220210020257 - 211 = 2220210018209 is a prime.

It is not a weakly prime, because it can be changed into another prime (2220210021257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110105010128 + 1110105010129.

It is an arithmetic number, because the mean of its divisors is an integer number (1110105010129).

Almost surely, 22220210020257 is an apocalyptic number.

It is an amenable number.

2220210020257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2220210020257 is an equidigital number, since it uses as much as digits as its factorization.

2220210020257 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 25.

Adding to 2220210020257 its reverse (7520200120222), we get a palindrome (9740410140479).

The spelling of 2220210020257 in words is "two trillion, two hundred twenty billion, two hundred ten million, twenty thousand, two hundred fifty-seven".