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20100010222057 is a prime number
BaseRepresentation
bin1001001000111111001011…
…11110000010000111101001
32122011112122021100011221011
410210133211332002013221
510113304310104101212
6110425452304143521
74143114663623203
oct444374576020751
978145567304834
1020100010222057
11644a403845117
122307624907ba1
13b2a565c6211c
144d6bba7bd773
1524cca9e3e4a7
hex1247e5f821e9

20100010222057 has 2 divisors, whose sum is σ = 20100010222058. Its totient is φ = 20100010222056.

The previous prime is 20100010222001. The next prime is 20100010222067. The reversal of 20100010222057 is 75022201000102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14330002679001 + 5770007543056 = 3785499^2 + 2402084^2 .

It is a cyclic number.

It is not a de Polignac number, because 20100010222057 - 239 = 19550254408169 is a prime.

It is a super-2 number, since 2×201000102220572 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20100010222067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050005111028 + 10050005111029.

It is an arithmetic number, because the mean of its divisors is an integer number (10050005111029).

Almost surely, 220100010222057 is an apocalyptic number.

It is an amenable number.

20100010222057 is a deficient number, since it is larger than the sum of its proper divisors (1).

20100010222057 is an equidigital number, since it uses as much as digits as its factorization.

20100010222057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 22.

Adding to 20100010222057 its reverse (75022201000102), we get a palindrome (95122211222159).

The spelling of 20100010222057 in words is "twenty trillion, one hundred billion, ten million, two hundred twenty-two thousand, fifty-seven".