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113044112441 = 13171094692769
BaseRepresentation
bin110100101000111110…
…1000100010000111001
3101210210020102220121022
41221101331010100321
53323003243044231
6123533131352225
711111224046561
oct1512175042071
9353706386538
10113044112441
1143a3a4aa917
1219aaa2b2675
13a877087a80
1456855cdda1
152e194a1c7b
hex1a51f44439

113044112441 has 16 divisors (see below), whose sum is σ = 130083584400. Its totient is φ = 97309237248.

The previous prime is 113044112399. The next prime is 113044112443. The reversal of 113044112441 is 144211440311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3469210000 + 109574902441 = 58900^2 + 331021^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113044112441 is a prime.

It is a super-3 number, since 3×1130441124413 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 113044112441.

It is not an unprimeable number, because it can be changed into a prime (113044112443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2322296 + ... + 2370473.

It is an arithmetic number, because the mean of its divisors is an integer number (8130224025).

Almost surely, 2113044112441 is an apocalyptic number.

It is an amenable number.

113044112441 is a deficient number, since it is larger than the sum of its proper divisors (17039471959).

113044112441 is a wasteful number, since it uses less digits than its factorization.

113044112441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4692908.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 113044112441 its reverse (144211440311), we get a palindrome (257255552752).

The spelling of 113044112441 in words is "one hundred thirteen billion, forty-four million, one hundred twelve thousand, four hundred forty-one".

Divisors: 1 13 17 109 221 1417 1853 24089 4692769 61005997 79777073 511511821 1037101949 6649653673 8695700957 113044112441