Search a number
-
+
11121360000 = 27354149311
BaseRepresentation
bin10100101101110001…
…00111110010000000
31001201001210121212020
422112320213302000
5140234032010000
65035321201440
7542412000042
oct122670476200
931631717766
1011121360000
114797799413
1221a4630280
1310831095ba
14777061a92
15451562ba0
hex296e27c80

11121360000 has 320 divisors, whose sum is σ = 37281816000. Its totient is φ = 2936320000.

The previous prime is 11121359971. The next prime is 11121360031. The reversal of 11121360000 is 6312111.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35759845 + ... + 35760155.

It is an arithmetic number, because the mean of its divisors is an integer number (116505675).

Almost surely, 211121360000 is an apocalyptic number.

11121360000 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 11121360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18640908000).

11121360000 is an abundant number, since it is smaller than the sum of its proper divisors (26160456000).

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

11121360000 is an equidigital number, since it uses as much as digits as its factorization.

11121360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11121360000 its reverse (6312111), we get a palindrome (11127672111).

The spelling of 11121360000 in words is "eleven billion, one hundred twenty-one million, three hundred sixty thousand".