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113232320200 = 235219239912421
BaseRepresentation
bin110100101110100101…
…1000001011011001000
3101211021100120212010001
41221131023001123020
53323344433221300
6124003533332344
711116000561336
oct1513513013310
9354240525101
10113232320200
114402676911a
1219b413370b4
13a8a70737cc
1456a25c2b56
152e2ac7c16a
hex1a5d2c16c8

113232320200 has 96 divisors (see below), whose sum is σ = 277259040000. Its totient is φ = 42887750400.

The previous prime is 113232320197. The next prime is 113232320209. The reversal of 113232320200 is 2023232311.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (113232320209) 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 23 ways as a sum of consecutive naturals, for example, 9109990 + ... + 9122410.

It is an arithmetic number, because the mean of its divisors is an integer number (2888115000).

Almost surely, 2113232320200 is an apocalyptic number.

113232320200 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 113232320200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138629520000).

113232320200 is an abundant number, since it is smaller than the sum of its proper divisors (164026719800).

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

113232320200 is a wasteful number, since it uses less digits than its factorization.

113232320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14855 (or 14846 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 113232320200 its reverse (2023232311), we get a palindrome (115255552511).

The spelling of 113232320200 in words is "one hundred thirteen billion, two hundred thirty-two million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 2399 3800 4798 9596 11995 12421 19192 23990 24842 45581 47980 49684 59975 62105 91162 95960 99368 119950 124210 182324 227905 235999 239900 248420 310525 364648 455810 471998 479800 496840 621050 911620 943996 1139525 1179995 1242100 1823240 1887992 2279050 2359990 2484200 4558100 4719980 5899975 9116200 9439960 11799950 23599900 29797979 47199800 59595958 119191916 148989895 238383832 297979790 566161601 595959580 744949475 1132323202 1191919160 1489898950 2264646404 2830808005 2979797900 4529292808 5661616010 5959595800 11323232020 14154040025 22646464040 28308080050 56616160100 113232320200