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112332213200 = 2452280830533
BaseRepresentation
bin110100010011110000…
…1011000101111010000
3101201221121212200102202
41220213201120233100
53320024021310300
6123334341102332
711054461025564
oct1504741305720
9351847780382
10112332213200
1143704673439
121992b9b79a8
13a79274050c
145618c396a4
152dc6c2dad5
hex1a27858bd0

112332213200 has 30 divisors (see below), whose sum is σ = 269878143174. Its totient is φ = 44932885120.

The previous prime is 112332213163. The next prime is 112332213209. The reversal of 112332213200 is 2312233211.

It can be written as a sum of positive squares in 3 ways, for example, as 16922887744 + 95409325456 = 130088^2 + 308884^2 .

It is a super-2 number, since 2×1123322132002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112332213209) 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 5 ways as a sum of consecutive naturals, for example, 140414867 + ... + 140415666.

Almost surely, 2112332213200 is an apocalyptic number.

112332213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112332213200 is an abundant number, since it is smaller than the sum of its proper divisors (157545929974).

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

112332213200 is a wasteful number, since it uses less digits than its factorization.

112332213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280830551 (or 280830540 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 112332213200 its reverse (2312233211), we get a palindrome (114644446411).

The spelling of 112332213200 in words is "one hundred twelve billion, three hundred thirty-two million, two hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 280830533 561661066 1123322132 1404152665 2246644264 2808305330 4493288528 5616610660 7020763325 11233221320 14041526650 22466442640 28083053300 56166106600 112332213200