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113362712127 = 32717195570923
BaseRepresentation
bin110100110010011110…
…0011011011000111111
3101211121102221110012200
41221210330123120333
53324131323242002
6124024512202543
711122143103620
oct1514474333077
9354542843180
10113362712127
1144093328545
1219b78b39453
13a8c80987b2
1456b5a45a47
152e37436b1c
hex1a64f1b63f

113362712127 has 48 divisors (see below), whose sum is σ = 208575394560. Its totient is φ = 57759319296.

The previous prime is 113362712119. The next prime is 113362712129. The reversal of 113362712127 is 721217263311.

113362712127 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 627 + 1 + 2 + 1 + 27 = 666.

It is not a de Polignac number, because 113362712127 - 23 = 113362712119 is a prime.

It is a super-2 number, since 2×1133627121272 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113362712091 and 113362712100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113362712129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2765113 + ... + 2805810.

It is an arithmetic number, because the mean of its divisors is an integer number (4345320720).

Almost surely, 2113362712127 is an apocalyptic number.

113362712127 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

113362712127 is a deficient number, since it is larger than the sum of its proper divisors (95212682433).

113362712127 is a wasteful number, since it uses less digits than its factorization.

113362712127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5570972 (or 5570969 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

Adding to 113362712127 its reverse (721217263311), we get a palindrome (834579975438).

The spelling of 113362712127 in words is "one hundred thirteen billion, three hundred sixty-two million, seven hundred twelve thousand, one hundred twenty-seven".

Divisors: 1 3 7 9 17 19 21 51 57 63 119 133 153 171 323 357 399 969 1071 1197 2261 2907 6783 20349 5570923 16712769 38996461 50138307 94705691 105847537 116989383 284117073 317542611 350968149 662939837 740932759 852351219 952627833 1799408129 1988819511 2222798277 5398224387 5966458533 6668394831 12595856903 16194673161 37787570709 113362712127