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2301022200101 is a prime number
BaseRepresentation
bin100001011110111111100…
…111000110000100100101
322010222100012020000122012
4201132333213012010211
5300144443140400401
64521024111244005
7325146321662552
oct41367747060445
98128305200565
102301022200101
11807949054159
12311b53819605
13138ca70a3ac1
147d52767ba29
153ecc52a58bb
hex217bf9c6125

2301022200101 has 2 divisors, whose sum is σ = 2301022200102. Its totient is φ = 2301022200100.

The previous prime is 2301022200019. The next prime is 2301022200131. The reversal of 2301022200101 is 1010022201032.

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., 1548596069476 + 752426130625 = 1244426^2 + 867425^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2301022200101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2301022200131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1150511100050 + 1150511100051.

It is an arithmetic number, because the mean of its divisors is an integer number (1150511100051).

Almost surely, 22301022200101 is an apocalyptic number.

It is an amenable number.

2301022200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2301022200101 is an equidigital number, since it uses as much as digits as its factorization.

2301022200101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2301022200101 its reverse (1010022201032), we get a palindrome (3311044401133).

The spelling of 2301022200101 in words is "two trillion, three hundred one billion, twenty-two million, two hundred thousand, one hundred one".