Search a number
-
+
112201312300 = 2252721137127443
BaseRepresentation
bin110100001111110111…
…0000010100000101100
3101201121111120020011021
41220133232002200230
53314242013443200
6123313343303524
711051311263400
oct1503756024054
9351544506137
10112201312300
1143647796680
12198b3baaba4
13a77159a96c
1456056c3100
152dba4c341a
hex1a1fb8282c

112201312300 has 432 divisors, whose sum is σ = 320547483648. Its totient is φ = 33682521600.

The previous prime is 112201312291. The next prime is 112201312309. The reversal of 112201312300 is 3213102211.

It is an interprime number because it is at equal distance from previous prime (112201312291) and next prime (112201312309).

It is not an unprimeable number, because it can be changed into a prime (112201312309) 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 143 ways as a sum of consecutive naturals, for example, 253275879 + ... + 253276321.

It is an arithmetic number, because the mean of its divisors is an integer number (742008064).

Almost surely, 2112201312300 is an apocalyptic number.

112201312300 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 112201312300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160273741824).

112201312300 is an abundant number, since it is smaller than the sum of its proper divisors (208346171348).

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

112201312300 is a wasteful number, since it uses less digits than its factorization.

112201312300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 112201312300 its reverse (3213102211), we get a palindrome (115414414511).

The spelling of 112201312300 in words is "one hundred twelve billion, two hundred one million, three hundred twelve thousand, three hundred".