Search a number
-
+
11001120000 = 28354134143
BaseRepresentation
bin10100011111011011…
…11100010100000000
31001101200112210120220
422033231330110000
5140012241320000
65015344103040
7536421656103
oct121755742400
931350483526
1011001120000
114735933312
122170304a80
13106422a380
147650c273a
15445c111a0
hex28fb7c500

11001120000 has 720 divisors, whose sum is σ = 41301129408. Its totient is φ = 2580480000.

The previous prime is 11001119989. The next prime is 11001120037. The reversal of 11001120000 is 2110011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 255839979 + ... + 255840021.

Almost surely, 211001120000 is an apocalyptic number.

11001120000 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 11001120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20650564704).

11001120000 is an abundant number, since it is smaller than the sum of its proper divisors (30300009408).

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

11001120000 is an equidigital number, since it uses as much as digits as its factorization.

11001120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11001120000 its reverse (2110011), we get a palindrome (11003230011).

The spelling of 11001120000 in words is "eleven billion, one million, one hundred twenty thousand".