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113332000200 = 23352449420683
BaseRepresentation
bin110100110001100011…
…1010001010111001000
3101211112022011010100220
41221203013101113020
53324100443001300
6124021454030040
711121321051516
oct1514307212710
9354468133326
10113332000200
1144077a61191
1219b6a7a8320
13a8c1904763
1456b192d4b6
152e348bbda0
hex1a631d15c8

113332000200 has 96 divisors (see below), whose sum is σ = 352112508000. Its totient is φ = 30154485760.

The previous prime is 113332000183. The next prime is 113332000211. The reversal of 113332000200 is 2000233311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113332000200.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 59059 + ... + 479741.

It is an arithmetic number, because the mean of its divisors is an integer number (3667838625).

Almost surely, 2113332000200 is an apocalyptic number.

113332000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113332000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176056254000).

113332000200 is an abundant number, since it is smaller than the sum of its proper divisors (238780507800).

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

113332000200 is a wasteful number, since it uses less digits than its factorization.

113332000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421151 (or 421142 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 113332000200 its reverse (2000233311), we get a palindrome (115332233511).

The spelling of 113332000200 in words is "one hundred thirteen billion, three hundred thirty-two million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 449 600 898 1347 1796 2245 2694 3592 4490 5388 6735 8980 10776 11225 13470 17960 22450 26940 33675 44900 53880 67350 89800 134700 269400 420683 841366 1262049 1682732 2103415 2524098 3365464 4206830 5048196 6310245 8413660 10096392 10517075 12620490 16827320 21034150 25240980 31551225 42068300 50481960 63102450 84136600 126204900 188886667 252409800 377773334 566660001 755546668 944433335 1133320002 1511093336 1888866670 2266640004 2833300005 3777733340 4533280008 4722166675 5666600010 7555466680 9444333350 11333200020 14166500025 18888666700 22666400040 28333000050 37777333400 56666000100 113332000200