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113200302200 = 235226312911667
BaseRepresentation
bin110100101101101000…
…0111000100001111000
3101211012010100011200012
41221123100320201320
53323313234132300
6124000431201052
711115131456366
oct1513320704170
9354163304605
10113200302200
114400a68a567
1219b32676188
13a8a054314b
14569c24a636
152e28055435
hex1a5b438878

113200302200 has 96 divisors (see below), whose sum is σ = 264554674560. Its totient is φ = 45045974400.

The previous prime is 113200302197. The next prime is 113200302203. The reversal of 113200302200 is 2203002311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113200302197) and next prime (113200302203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113200302203) 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, 67905767 + ... + 67907433.

It is an arithmetic number, because the mean of its divisors is an integer number (2755777860).

Almost surely, 2113200302200 is an apocalyptic number.

113200302200 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 113200302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132277337280).

113200302200 is an abundant number, since it is smaller than the sum of its proper divisors (151354372360).

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

113200302200 is a wasteful number, since it uses less digits than its factorization.

113200302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 113200302200 its reverse (2203002311), we get a palindrome (115403304511).

The spelling of 113200302200 in words is "one hundred thirteen billion, two hundred million, three hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 263 526 1052 1291 1315 1667 2104 2582 2630 3334 5164 5260 6455 6575 6668 8335 10328 10520 12910 13150 13336 16670 25820 26300 32275 33340 41675 51640 52600 64550 66680 83350 129100 166700 258200 333400 339533 438421 679066 876842 1358132 1697665 1753684 2152097 2192105 2716264 3395330 3507368 4304194 4384210 6790660 8488325 8608388 8768420 10760485 10960525 13581320 16976650 17216776 17536840 21520970 21921050 33953300 43041940 43842100 53802425 67906600 86083880 87684200 107604850 215209700 430419400 566001511 1132003022 2264006044 2830007555 4528012088 5660015110 11320030220 14150037775 22640060440 28300075550 56600151100 113200302200