Search a number
-
+
13038214225 = 524125572
BaseRepresentation
bin11000010010010001…
…10101110001010001
31020122122200220112011
430021020311301101
5203200240323400
65553434102521
7641045664241
oct141110656121
936578626464
1013038214225
115590806363
12263a57aa41
1312ca29177a
148b9875b21
1551499e8ba
hex309235c51

13038214225 has 27 divisors (see below), whose sum is σ = 16601134291. Its totient is φ = 10157897600.

The previous prime is 13038214199. The next prime is 13038214249. The reversal of 13038214225 is 52241283031.

The square root of 13038214225 is 114185.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 11011773969 + 2026440256 = 104937^2 + 45016^2 .

It is not a de Polignac number, because 13038214225 - 27 = 13038214097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23407647 + ... + 23408203.

Almost surely, 213038214225 is an apocalyptic number.

13038214225 is the 114185-th square number.

13038214225 is the 57093-rd centered octagonal number.

It is an amenable number.

13038214225 is a deficient number, since it is larger than the sum of its proper divisors (3562920066).

13038214225 is an frugal number, since it uses more digits than its factorization.

13038214225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 13038214225 its reverse (52241283031), we get a palindrome (65279497256).

The spelling of 13038214225 in words is "thirteen billion, thirty-eight million, two hundred fourteen thousand, two hundred twenty-five".

Divisors: 1 5 25 41 205 557 1025 1681 2785 8405 13925 22837 42025 114185 310249 570925 936317 1551245 4681585 7756225 12720209 23407925 63601045 318005225 521528569 2607642845 13038214225