Search a number
-
+
2300114101 is a prime number
BaseRepresentation
bin1000100100011000…
…1111010010110101
312221022001220101011
42021012033102311
514202312122401
61020123232221
7110666435005
oct21106172265
95838056334
102300114101
11a8039984a
12542378671
132a86b507c
1417b69c005
15d6de5451
hex8918f4b5

2300114101 has 2 divisors, whose sum is σ = 2300114102. Its totient is φ = 2300114100.

The previous prime is 2300114071. The next prime is 2300114111. The reversal of 2300114101 is 1014110032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1224930001 + 1075184100 = 34999^2 + 32790^2 .

It is a cyclic number.

It is not a de Polignac number, because 2300114101 - 213 = 2300105909 is a prime.

It is a super-3 number, since 3×23001141013 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2300114111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1150057050 + 1150057051.

It is an arithmetic number, because the mean of its divisors is an integer number (1150057051).

Almost surely, 22300114101 is an apocalyptic number.

It is an amenable number.

2300114101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2300114101 is an equidigital number, since it uses as much as digits as its factorization.

2300114101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2300114101 is about 47959.5048035319. The cubic root of 2300114101 is about 1320.0279495536.

Adding to 2300114101 its reverse (1014110032), we get a palindrome (3314224133).

The spelling of 2300114101 in words is "two billion, three hundred million, one hundred fourteen thousand, one hundred one".