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2123115101 is a prime number
BaseRepresentation
bin111111010001100…
…0010101001011101
312110222000102101122
41332203002221131
513322004140401
6550401420325
7103420115642
oct17643025135
95428012348
102123115101
1199a496888
124b303a6a5
1327ab22133
14161d85dc9
15c65d121b
hex7e8c2a5d

2123115101 has 2 divisors, whose sum is σ = 2123115102. Its totient is φ = 2123115100.

The previous prime is 2123115097. The next prime is 2123115107. The reversal of 2123115101 is 1015113212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1463139001 + 659976100 = 38251^2 + 25690^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123115101 - 22 = 2123115097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2123115101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2123115107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061557550 + 1061557551.

It is an arithmetic number, because the mean of its divisors is an integer number (1061557551).

Almost surely, 22123115101 is an apocalyptic number.

It is an amenable number.

2123115101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123115101 is an equidigital number, since it uses as much as digits as its factorization.

2123115101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 2123115101 is about 46077.2731506542. The cubic root of 2123115101 is about 1285.2605569131.

Adding to 2123115101 its reverse (1015113212), we get a palindrome (3138228313).

The spelling of 2123115101 in words is "two billion, one hundred twenty-three million, one hundred fifteen thousand, one hundred one".