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113302200 = 233521117167
BaseRepresentation
bin1101100000011…
…01101010111000
321220012100101210
412300031222320
5213001132300
615124243120
72544024054
oct660155270
9256170353
10113302200
1158a57690
1231b404a0
131a62042b
1411094c64
159e31050
hex6c0dab8

113302200 has 96 divisors (see below), whose sum is σ = 383189760. Its totient is φ = 27465600.

The previous prime is 113302169. The next prime is 113302207. The reversal of 113302200 is 2203311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113302207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1984 + ... + 15183.

It is an arithmetic number, because the mean of its divisors is an integer number (3991560).

Almost surely, 2113302200 is an apocalyptic number.

113302200 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 113302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191594880).

113302200 is an abundant number, since it is smaller than the sum of its proper divisors (269887560).

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

113302200 is a wasteful number, since it uses less digits than its factorization.

113302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17197 (or 17188 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 113302200 is about 10644.3506142930. The cubic root of 113302200 is about 483.8894062364.

Adding to 113302200 its reverse (2203311), we get a palindrome (115505511).

It can be divided in two parts, 11330 and 2200, that added together give a triangular number (13530 = T164).

The spelling of 113302200 in words is "one hundred thirteen million, three hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 17167 34334 51501 68668 85835 103002 137336 171670 188837 206004 257505 343340 377674 412008 429175 515010 566511 686680 755348 858350 944185 1030020 1133022 1287525 1510696 1716700 1888370 2060040 2266044 2575050 2832555 3433400 3776740 4532088 4720925 5150100 5665110 7553480 9441850 10300200 11330220 14162775 18883700 22660440 28325550 37767400 56651100 113302200