Search a number
-
+
112203399168 = 2193274379
BaseRepresentation
bin110100001111111011…
…0000000000000000000
3101201121122111020210200
41220133312000000000
53314243032233133
6123313500125200
711051335104510
oct1503766000000
9351548436720
10112203399168
1143648991563
12198b4836800
13a771b4b7b3
145605aa7840
152dba786913
hex1a1fd80000

112203399168 has 480 divisors, whose sum is σ = 383862336000. Its totient is φ = 30916214784.

The previous prime is 112203399127. The next prime is 112203399227. The reversal of 112203399168 is 861993302211.

It is a happy number.

112203399168 is a `hidden beast` number, since 1 + 1 + 220 + 339 + 91 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1420296153 + ... + 1420296231.

It is an arithmetic number, because the mean of its divisors is an integer number (799713200).

Almost surely, 2112203399168 is an apocalyptic number.

112203399168 is a gapful number since it is divisible by the number (18) 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 112203399168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191931168000).

112203399168 is an abundant number, since it is smaller than the sum of its proper divisors (271658936832).

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

112203399168 is an frugal number, since it uses more digits than its factorization.

112203399168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 112203399168 in words is "one hundred twelve billion, two hundred three million, three hundred ninety-nine thousand, one hundred sixty-eight".