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113002112241 = 3217243445641
BaseRepresentation
bin110100100111101110…
…0110110010011110001
3101210200022102002011100
41221033130312103301
53322412020042431
6123525031235013
711110204051164
oct1511734662361
9353608362140
10113002112241
1143a18823507
1219a98218a69
13a86b470995
14567dbb9adb
152e159574e6
hex1a4f7364f1

113002112241 has 18 divisors (see below), whose sum is σ = 173391557222. Its totient is φ = 70903284480.

The previous prime is 113002112231. The next prime is 113002112243. The reversal of 113002112241 is 142211200311.

113002112241 is a `hidden beast` number, since 11 + 300 + 2 + 112 + 241 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 75402963216 + 37599149025 = 274596^2 + 193905^2 .

It is not a de Polignac number, because 113002112241 - 26 = 113002112177 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (113002112243) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21720220 + ... + 21725421.

Almost surely, 2113002112241 is an apocalyptic number.

It is an amenable number.

113002112241 is a deficient number, since it is larger than the sum of its proper divisors (60389444981).

113002112241 is a wasteful number, since it uses less digits than its factorization.

113002112241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43445681 (or 43445661 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 113002112241 its reverse (142211200311), we get a palindrome (255213312552).

The spelling of 113002112241 in words is "one hundred thirteen billion, two million, one hundred twelve thousand, two hundred forty-one".

Divisors: 1 3 9 17 51 153 289 867 2601 43445641 130336923 391010769 738575897 2215727691 6647183073 12555790249 37667370747 113002112241