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113205041730 = 232511114348527
BaseRepresentation
bin110100101101110001…
…0111101101001000010
3101211012110020222002100
41221123202331221002
53323320442313410
6124001120531230
711115216656304
oct1513342755102
9354173228070
10113205041730
1144012327430
1219b34180b16
13a8a15124c1
14569cb21974
152e2868e8c0
hex1a5b8bda42

113205041730 has 48 divisors (see below), whose sum is σ = 321090666624. Its totient is φ = 27443646240.

The previous prime is 113205041707. The next prime is 113205041731. The reversal of 113205041730 is 37140502311.

113205041730 is a `hidden beast` number, since 1 + 13 + 205 + 0 + 417 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 113205041694 and 113205041703.

It is not an unprimeable number, because it can be changed into a prime (113205041731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57173274 + ... + 57175253.

It is an arithmetic number, because the mean of its divisors is an integer number (6689388888).

Almost surely, 2113205041730 is an apocalyptic number.

113205041730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113205041730 is an abundant number, since it is smaller than the sum of its proper divisors (207885624894).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113205041730 is a wasteful number, since it uses less digits than its factorization.

113205041730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114348551 (or 114348548 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 113205041730 in words is "one hundred thirteen billion, two hundred five million, forty-one thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 114348527 228697054 343045581 571742635 686091162 1029136743 1143485270 1257833797 1715227905 2058273486 2515667594 3430455810 3773501391 5145683715 6289168985 7547002782 10291367430 11320504173 12578337970 18867506955 22641008346 37735013910 56602520865 113205041730