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112134312200 = 23521129496609
BaseRepresentation
bin110100001101110111…
…0011101000100001000
3101201102211111021022002
41220123232131010020
53314122340442300
6123302551250132
711046535633001
oct1503356350410
9351384437262
10112134312200
1143612994499
1219895679948
13a76073c731
1455da8421a8
152db468b5d5
hex1a1bb9d108

112134312200 has 48 divisors (see below), whose sum is σ = 260943724500. Its totient is φ = 44813905920.

The previous prime is 112134312197. The next prime is 112134312203. The reversal of 112134312200 is 2213431211.

It is an interprime number because it is at equal distance from previous prime (112134312197) and next prime (112134312203).

It can be written as a sum of positive squares in 6 ways, for example, as 19763298724 + 92371013476 = 140582^2 + 303926^2 .

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

It is not an unprimeable number, because it can be changed into a prime (112134312203) 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 11 ways as a sum of consecutive naturals, for example, 22505 + ... + 474104.

Almost surely, 2112134312200 is an apocalyptic number.

112134312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112134312200 is an abundant number, since it is smaller than the sum of its proper divisors (148809412300).

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

112134312200 is a wasteful number, since it uses less digits than its factorization.

112134312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497754 (or 497745 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 112134312200 its reverse (2213431211), we get a palindrome (114347743411).

The spelling of 112134312200 in words is "one hundred twelve billion, one hundred thirty-four million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1129 2258 4516 5645 9032 11290 22580 28225 45160 56450 112900 225800 496609 993218 1986436 2483045 3972872 4966090 9932180 12415225 19864360 24830450 49660900 99321800 560671561 1121343122 2242686244 2803357805 4485372488 5606715610 11213431220 14016789025 22426862440 28033578050 56067156100 112134312200