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2230013101 is a prime number
BaseRepresentation
bin1000010011101011…
…0100110010101101
312202102011101212211
42010322310302231
514031340404401
61005140530421
7106155540631
oct20472646255
95672141784
102230013101
11a44869938
125229b0a11
1329700c5a4
14172250dc1
15d0b99951
hex84eb4cad

2230013101 has 2 divisors, whose sum is σ = 2230013102. Its totient is φ = 2230013100.

The previous prime is 2230013099. The next prime is 2230013111. The reversal of 2230013101 is 1013100322.

2230013101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1140683076 + 1089330025 = 33774^2 + 33005^2 .

It is a cyclic number.

It is not a de Polignac number, because 2230013101 - 21 = 2230013099 is a prime.

Together with 2230013099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2230013111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1115006550 + 1115006551.

It is an arithmetic number, because the mean of its divisors is an integer number (1115006551).

Almost surely, 22230013101 is an apocalyptic number.

It is an amenable number.

2230013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2230013101 is an equidigital number, since it uses as much as digits as its factorization.

2230013101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2230013101 is about 47223.0145268173. The cubic root of 2230013101 is about 1306.4791146352.

Adding to 2230013101 its reverse (1013100322), we get a palindrome (3243113423).

The spelling of 2230013101 in words is "two billion, two hundred thirty million, thirteen thousand, one hundred one".