Search a number
-
+
111120200000 = 26551015501
BaseRepresentation
bin110011101111101000…
…1111011000101000000
3101121211011021000212222
41213133101323011000
53310033232400000
6123014203310212
711012443054445
oct1473721730500
9347734230788
10111120200000
1143142501a37
1219651b1b368
13a62b601044
145541c9d9cc
152d5561da85
hex19df47b140

111120200000 has 168 divisors, whose sum is σ = 278391978648. Its totient is φ = 44000000000.

The previous prime is 111120199999. The next prime is 111120200027. The reversal of 111120200000 is 2021111.

It can be written as a sum of positive squares in 12 ways, for example, as 69755148544 + 41365051456 = 264112^2 + 203384^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 20197250 + ... + 20202750.

It is an arithmetic number, because the mean of its divisors is an integer number (1657095111).

Almost surely, 2111120200000 is an apocalyptic number.

111120200000 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 111120200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139195989324).

111120200000 is an abundant number, since it is smaller than the sum of its proper divisors (167271778648).

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

111120200000 is an frugal number, since it uses more digits than its factorization.

111120200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5639 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 111120200000 its reverse (2021111), we get a palindrome (111122221111).

The spelling of 111120200000 in words is "one hundred eleven billion, one hundred twenty million, two hundred thousand".