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113282008218 = 23347154328927
BaseRepresentation
bin110100110000000100…
…0100100010010011010
3101211101211002021021000
41221200020210102122
53324000143230333
6124012510325430
711120143116351
oct1514010442232
9354354067230
10113282008218
11440518164a5
1219b55ab9876
13a8b444cbc2
1456a9038998
152e302e4713
hex1a6022449a

113282008218 has 64 divisors (see below), whose sum is σ = 257269432320. Its totient is φ = 36932022576.

The previous prime is 113282008187. The next prime is 113282008223. The reversal of 113282008218 is 812800282311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3901671 + ... + 3930597.

It is an arithmetic number, because the mean of its divisors is an integer number (4019834880).

Almost surely, 2113282008218 is an apocalyptic number.

113282008218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113282008218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128634716160).

113282008218 is an abundant number, since it is smaller than the sum of its proper divisors (143987424102).

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

113282008218 is a wasteful number, since it uses less digits than its factorization.

113282008218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30528 (or 30522 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 113282008218 in words is "one hundred thirteen billion, two hundred eighty-two million, eight thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 282 423 846 1269 1543 2538 3086 4629 9258 13887 27774 28927 41661 57854 72521 83322 86781 145042 173562 217563 260343 435126 520686 652689 781029 1305378 1359569 1562058 1958067 2719138 3916134 4078707 8157414 12236121 24472242 36708363 44634361 73416726 89268722 133903083 267806166 401709249 803418498 1205127747 2097814967 2410255494 4195629934 6293444901 12586889802 18880334703 37760669406 56641004109 113282008218