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113444513505 = 32510124960289
BaseRepresentation
bin110100110100111010…
…0011110011011100001
3101211211010212101121100
41221221310132123201
53324313243413010
6124040553345013
711124155311611
oct1515164363341
9354733771540
10113444513505
114412551a094
1219ba0408169
13a90c009a8b
1456c285aa41
152e3e6e42c0
hex1a69d1e6e1

113444513505 has 24 divisors (see below), whose sum is σ = 198584067240. Its totient is φ = 59904691200.

The previous prime is 113444513471. The next prime is 113444513537. The reversal of 113444513505 is 505315444311.

113444513505 is a `hidden beast` number, since 1 + 134 + 4 + 4 + 5 + 13 + 505 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42488340129 + 70956173376 = 206127^2 + 266376^2 .

It is not a de Polignac number, because 113444513505 - 210 = 113444512481 is a prime.

It is a super-2 number, since 2×1134445135052 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113444513505.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12475600 + ... + 12484689.

It is an arithmetic number, because the mean of its divisors is an integer number (8274336135).

Almost surely, 2113444513505 is an apocalyptic number.

113444513505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113444513505 is a deficient number, since it is larger than the sum of its proper divisors (85139553735).

113444513505 is a wasteful number, since it uses less digits than its factorization.

113444513505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24960401 (or 24960398 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 113444513505 its reverse (505315444311), we get a palindrome (618759957816).

The spelling of 113444513505 in words is "one hundred thirteen billion, four hundred forty-four million, five hundred thirteen thousand, five hundred five".

Divisors: 1 3 5 9 15 45 101 303 505 909 1515 4545 24960289 74880867 124801445 224642601 374404335 1123213005 2520989189 7562967567 12604945945 22688902701 37814837835 113444513505