Search a number
-
+
2123000113301 is a prime number
BaseRepresentation
bin11110111001001100101…
…010101110100010010101
321111221211112021000012222
4132321030222232202111
5234240401012111201
64303143124152125
7306244631134334
oct36711452564225
97457745230188
102123000113301
117493a5243491
122a3550538645
131252761726c2
1474a7a42bd1b
153a35654a91b
hex1ee4caae895

2123000113301 has 2 divisors, whose sum is σ = 2123000113302. Its totient is φ = 2123000113300.

The previous prime is 2123000113271. The next prime is 2123000113327. The reversal of 2123000113301 is 1033110003212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2052070575025 + 70929538276 = 1432505^2 + 266326^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2123000113301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2123000113301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2123000113361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061500056650 + 1061500056651.

It is an arithmetic number, because the mean of its divisors is an integer number (1061500056651).

Almost surely, 22123000113301 is an apocalyptic number.

It is an amenable number.

2123000113301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123000113301 is an equidigital number, since it uses as much as digits as its factorization.

2123000113301 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 2123000113301 its reverse (1033110003212), we get a palindrome (3156110116513).

The spelling of 2123000113301 in words is "two trillion, one hundred twenty-three billion, one hundred thirteen thousand, three hundred one".