Search a number
-
+
112245100000 = 255511671523
BaseRepresentation
bin110100010001001010…
…1000100110111100000
3101201201112221212120221
41220202111010313200
53314334221200000
6123321550012424
711052352415335
oct1504225046740
9351645855527
10112245100000
114366a483a60
12199067a7114
13a77a68c547
14560b44098c
152dbe27261a
hex1a22544de0

112245100000 has 288 divisors, whose sum is σ = 306018663552. Its totient is φ = 40180800000.

The previous prime is 112245099977. The next prime is 112245100007. The reversal of 112245100000 is 1542211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112245100007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73699239 + ... + 73700761.

It is an arithmetic number, because the mean of its divisors is an integer number (1062564804).

Almost surely, 2112245100000 is an apocalyptic number.

112245100000 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 112245100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153009331776).

112245100000 is an abundant number, since it is smaller than the sum of its proper divisors (193773563552).

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

112245100000 is an equidigital number, since it uses as much as digits as its factorization.

112245100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 112245100000 its reverse (1542211), we get a palindrome (112246642211).

The spelling of 112245100000 in words is "one hundred twelve billion, two hundred forty-five million, one hundred thousand".