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2301200113301 is a prime number
BaseRepresentation
bin100001011111001010001…
…101110001111010010101
322010222210120222221122222
4201133022031301322111
5300200324212111201
64521053504432125
7325153612140125
oct41371215617225
98128716887588
102301200113301
11807a2a520a61
12311ba3318645
13139004bc6b9b
147d543150c85
153ecd5bea91b
hex217ca371e95

2301200113301 has 2 divisors, whose sum is σ = 2301200113302. Its totient is φ = 2301200113300.

The previous prime is 2301200113283. The next prime is 2301200113321. The reversal of 2301200113301 is 1033110021032.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1477233622225 + 823966491076 = 1215415^2 + 907726^2 .

It is a cyclic number.

It is not a de Polignac number, because 2301200113301 - 214 = 2301200096917 is a prime.

It is a super-2 number, since 2×23012001133012 (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2301200113301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2301200113321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1150600056650 + 1150600056651.

It is an arithmetic number, because the mean of its divisors is an integer number (1150600056651).

Almost surely, 22301200113301 is an apocalyptic number.

It is an amenable number.

2301200113301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2301200113301 is an equidigital number, since it uses as much as digits as its factorization.

2301200113301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 2301200113301 its reverse (1033110021032), we get a palindrome (3334310134333).

The spelling of 2301200113301 in words is "two trillion, three hundred one billion, two hundred million, one hundred thirteen thousand, three hundred one".