Search a number
-
+
112450325200 = 2452893158717
BaseRepresentation
bin110100010111010001…
…1111100101011010000
3101202020212010101122021
41220232203330223100
53320244240401300
6123354200421224
711060423664463
oct1505643745320
9352225111567
10112450325200
1143765305764
1219963477814
13a7b1055c85
14562a7c32da
152dd22aed1a
hex1a2e8fcad0

112450325200 has 60 divisors (see below), whose sum is σ = 273197519820. Its totient is φ = 44474721280.

The previous prime is 112450325177. The next prime is 112450325201. The reversal of 112450325200 is 2523054211.

112450325200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 8048960656 + 104401364544 = 89716^2 + 323112^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112450325201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1543759 + ... + 1614958.

It is an arithmetic number, because the mean of its divisors is an integer number (4553291997).

Almost surely, 2112450325200 is an apocalyptic number.

112450325200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112450325200 is an abundant number, since it is smaller than the sum of its proper divisors (160747194620).

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

112450325200 is a wasteful number, since it uses less digits than its factorization.

112450325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158824 (or 3158813 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 112450325200 its reverse (2523054211), we get a palindrome (114973379411).

The spelling of 112450325200 in words is "one hundred twelve billion, four hundred fifty million, three hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 178 200 356 400 445 712 890 1424 1780 2225 3560 4450 7120 8900 17800 35600 3158717 6317434 12634868 15793585 25269736 31587170 50539472 63174340 78967925 126348680 157935850 252697360 281125813 315871700 562251626 631743400 1124503252 1263486800 1405629065 2249006504 2811258130 4498013008 5622516260 7028145325 11245032520 14056290650 22490065040 28112581300 56225162600 112450325200