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2210133112217 is a prime number
BaseRepresentation
bin100000001010010110001…
…100101111010110011001
321211021201222100222012222
4200022112030233112121
5242202323034042332
64411153210513425
7315451105326212
oct40122614572631
97737658328188
102210133112217
11782348584198
122b8409135875
13130551008c24
1478d84664409
153c755d55712
hex2029632f599

2210133112217 has 2 divisors, whose sum is σ = 2210133112218. Its totient is φ = 2210133112216.

The previous prime is 2210133112189. The next prime is 2210133112267. The reversal of 2210133112217 is 7122113310122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2071558582681 + 138574529536 = 1439291^2 + 372256^2 .

It is a cyclic number.

It is not a de Polignac number, because 2210133112217 - 26 = 2210133112153 is a prime.

It is not a weakly prime, because it can be changed into another prime (2210133112267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105066556108 + 1105066556109.

It is an arithmetic number, because the mean of its divisors is an integer number (1105066556109).

Almost surely, 22210133112217 is an apocalyptic number.

It is an amenable number.

2210133112217 is a deficient number, since it is larger than the sum of its proper divisors (1).

2210133112217 is an equidigital number, since it uses as much as digits as its factorization.

2210133112217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 26.

Adding to 2210133112217 its reverse (7122113310122), we get a palindrome (9332246422339).

The spelling of 2210133112217 in words is "two trillion, two hundred ten billion, one hundred thirty-three million, one hundred twelve thousand, two hundred seventeen".