Search a number
-
+
112793120000 = 285411193373
BaseRepresentation
bin110100100001011111…
…1100110110100000000
3101210010202011011200222
41221002333212310000
53322000014320000
6123452204002212
711102055462311
oct1510277466400
9353122134628
10112793120000
1143920859550
1219a3a230368
13a837088732
145660136608
152e02423a85
hex1a42fe6d00

112793120000 has 360 divisors, whose sum is σ = 323167928160. Its totient is φ = 38845440000.

The previous prime is 112793119997. The next prime is 112793120017. The reversal of 112793120000 is 21397211.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 33438314 + ... + 33441686.

Almost surely, 2112793120000 is an apocalyptic number.

112793120000 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 112793120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161583964080).

112793120000 is an abundant number, since it is smaller than the sum of its proper divisors (210374808160).

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

112793120000 is an equidigital number, since it uses as much as digits as its factorization.

112793120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The spelling of 112793120000 in words is "one hundred twelve billion, seven hundred ninety-three million, one hundred twenty thousand".