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113430332041 = 13172346148407
BaseRepresentation
bin110100110100011111…
…0011000001010001001
3101211210011011220021221
41221220332120022021
53324301131111131
6124035325402041
711123623625335
oct1515076301211
9354704156257
10113430332041
1144118513374
1219b97709321
13a9090b2b90
1456c0a087c5
152e3d342411
hex1a68f98289

113430332041 has 32 divisors (see below), whose sum is σ = 135260471808. Its totient is φ = 94054794240.

The previous prime is 113430332033. The next prime is 113430332047. The reversal of 113430332041 is 140233034311.

It is not a de Polignac number, because 113430332041 - 23 = 113430332033 is a prime.

It is a super-3 number, since 3×1134303320413 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113430331997 and 113430332015.

It is not an unprimeable number, because it can be changed into a prime (113430332047) 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 31 ways as a sum of consecutive naturals, for example, 2319060 + ... + 2367466.

It is an arithmetic number, because the mean of its divisors is an integer number (4226889744).

Almost surely, 2113430332041 is an apocalyptic number.

It is an amenable number.

113430332041 is a deficient number, since it is larger than the sum of its proper divisors (21830139767).

113430332041 is a wasteful number, since it uses less digits than its factorization.

113430332041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48921.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 113430332041 its reverse (140233034311), we get a palindrome (253663366352).

The spelling of 113430332041 in words is "one hundred thirteen billion, four hundred thirty million, three hundred thirty-two thousand, forty-one".

Divisors: 1 13 17 23 221 299 391 461 5083 5993 7837 10603 48407 101881 137839 180251 629291 822919 1113361 2343263 10697947 14473693 18927137 22315627 246052781 290103151 379365659 513259421 4931753567 6672372473 8725410157 113430332041