Search a number
-
+
112731120000 = 273254295399
BaseRepresentation
bin110100011111101001…
…1000110000110000000
3101202222102111020200200
41220333103012012000
53321333131320000
6123442111045200
711100403465302
oct1507723060600
9352872436620
10112731120000
1143899861a84
1219a21510800
13a82728b345
145655bd7972
152debc78500
hex1a3f4c6180

112731120000 has 480 divisors, whose sum is σ = 419420430000. Its totient is φ = 29019648000.

The previous prime is 112731119993. The next prime is 112731120023. The reversal of 112731120000 is 21137211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20877301 + ... + 20882699.

Almost surely, 2112731120000 is an apocalyptic number.

112731120000 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 112731120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209710215000).

112731120000 is an abundant number, since it is smaller than the sum of its proper divisors (306689310000).

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

112731120000 is an equidigital number, since it uses as much as digits as its factorization.

112731120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5468 (or 5438 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 112731120000 its reverse (21137211), we get a palindrome (112752257211).

The spelling of 112731120000 in words is "one hundred twelve billion, seven hundred thirty-one million, one hundred twenty thousand".