Search a number
-
+
2300013481 is a prime number
BaseRepresentation
bin1000100100010111…
…0110101110101001
312221021212210100111
42021011312232221
514202300412411
61020121134321
7110665535443
oct21105665651
95837783314
102300013481
11a80330197
1254232a3a1
132a867b32c
1417b673493
15d6dc5721
hex89176ba9

2300013481 has 2 divisors, whose sum is σ = 2300013482. Its totient is φ = 2300013480.

The previous prime is 2300013421. The next prime is 2300013491. The reversal of 2300013481 is 1843100032.

2300013481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1804550400 + 495463081 = 42480^2 + 22259^2 .

It is a cyclic number.

It is not a de Polignac number, because 2300013481 - 221 = 2297916329 is a prime.

It is a super-2 number, since 2×23000134812 = 10580124025563474722, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2300013421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1150006740 + 1150006741.

It is an arithmetic number, because the mean of its divisors is an integer number (1150006741).

Almost surely, 22300013481 is an apocalyptic number.

It is an amenable number.

2300013481 is a deficient number, since it is larger than the sum of its proper divisors (1).

2300013481 is an equidigital number, since it uses as much as digits as its factorization.

2300013481 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2300013481 is about 47958.4557820620. The cubic root of 2300013481 is about 1320.0087007767.

It can be divided in two parts, 23000 and 13481, that added together give a square (36481 = 1912).

The spelling of 2300013481 in words is "two billion, three hundred million, thirteen thousand, four hundred eighty-one".