Search a number
-
+
112320100200 = 2335271110124071
BaseRepresentation
bin110100010011011001…
…1001011011101101000
3101201220210002021112010
41220212303023131220
53320012421201300
6123333225315520
711054253045660
oct1504663133550
9351823067463
10112320100200
11436a884a7a0
1219927935ba0
13a79008bc69
1456173a51a0
152dc5b39a50
hex1a26ccb768

112320100200 has 384 divisors, whose sum is σ = 438426224640. Its totient is φ = 23107200000.

The previous prime is 112320100181. The next prime is 112320100213. The reversal of 112320100200 is 2001023211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4654165 + ... + 4678235.

It is an arithmetic number, because the mean of its divisors is an integer number (1141734960).

Almost surely, 2112320100200 is an apocalyptic number.

112320100200 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 112320100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219213112320).

112320100200 is an abundant number, since it is smaller than the sum of its proper divisors (326106124440).

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

112320100200 is a wasteful number, since it uses less digits than its factorization.

112320100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24209 (or 24200 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 112320100200 its reverse (2001023211), we get a palindrome (114321123411).

The spelling of 112320100200 in words is "one hundred twelve billion, three hundred twenty million, one hundred thousand, two hundred".