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113302220200 = 235213379311489
BaseRepresentation
bin110100110000101010…
…1101010110110101000
3101211110020010010212221
41221201111222312220
53324020332021300
6124014511443424
711120506660411
oct1514125526650
9354406103787
10113302220200
1144062171014
1219b60826574
13a8b86a8960
1456ab9ba808
152e31e8831a
hex1a6156ada8

113302220200 has 96 divisors (see below), whose sum is σ = 283790820600. Its totient is φ = 41819996160.

The previous prime is 113302220197. The next prime is 113302220209. The reversal of 113302220200 is 2022203311.

It can be written as a sum of positive squares in 12 ways, for example, as 7681120164 + 105621100036 = 87642^2 + 324994^2 .

It is not an unprimeable number, because it can be changed into a prime (113302220209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9856056 + ... + 9867544.

Almost surely, 2113302220200 is an apocalyptic number.

113302220200 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 113302220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141895410300).

113302220200 is an abundant number, since it is smaller than the sum of its proper divisors (170488600400).

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

113302220200 is a wasteful number, since it uses less digits than its factorization.

113302220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15311 (or 15302 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 113302220200 its reverse (2022203311), we get a palindrome (115324423511).

The spelling of 113302220200 in words is "one hundred thirteen billion, three hundred two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 3793 7586 11489 15172 18965 22978 30344 37930 45956 49309 57445 75860 91912 94825 98618 114890 149357 151720 189650 197236 229780 246545 287225 298714 379300 394472 459560 493090 574450 597428 746785 758600 986180 1148900 1194856 1232725 1493570 1972360 2297800 2465450 2987140 3733925 4930900 5974280 7467850 9861800 14935700 29871400 43577777 87155554 174311108 217888885 348622216 435777770 566511101 871555540 1089444425 1133022202 1743111080 2178888850 2266044404 2832555505 4357777700 4532088808 5665111010 8715555400 11330222020 14162777525 22660444040 28325555050 56651110100 113302220200