Search a number
-
+
11112033000 = 2335317534111
BaseRepresentation
bin10100101100101010…
…00010101011101000
31001200102020202121210
422112111002223220
5140224140024000
65034345233120
7542236502445
oct122625025350
931612222553
1011112033000
1147924a8952
1221a14927a0
1310811c2173
14775b149cc
1545081e350
hex296542ae8

11112033000 has 256 divisors, whose sum is σ = 37410647040. Its totient is φ = 2735616000.

The previous prime is 11112032993. The next prime is 11112033001. The reversal of 11112033000 is 33021111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11112033001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2700945 + ... + 2705055.

It is an arithmetic number, because the mean of its divisors is an integer number (146135340).

Almost surely, 211112033000 is an apocalyptic number.

11112033000 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 11112033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18705323520).

11112033000 is an abundant number, since it is smaller than the sum of its proper divisors (26298614040).

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

11112033000 is a wasteful number, since it uses less digits than its factorization.

11112033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 11112033000 its reverse (33021111), we get a palindrome (11145054111).

The spelling of 11112033000 in words is "eleven billion, one hundred twelve million, thirty-three thousand".