Search a number
-
+
11230010113200 = 24352103119376159
BaseRepresentation
bin1010001101101011000011…
…0000110111110010110000
31110202120121201021001212220
42203122300300313302300
52432443030042110300
635514555002321040
72236225055656614
oct243326060676260
943676551231786
1011230010113200
11363a690a4135a
12131454b7b9180
13635ca6c39558
142ab76d175344
151471b95a3da0
hexa36b0c37cb0

11230010113200 has 240 divisors, whose sum is σ = 36353646551040. Its totient is φ = 2963070167040.

The previous prime is 11230010113181. The next prime is 11230010113211. The reversal of 11230010113200 is 231101003211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×112300101132003 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11230010113200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147416721 + ... + 147492879.

It is an arithmetic number, because the mean of its divisors is an integer number (151473527296).

Almost surely, 211230010113200 is an apocalyptic number.

11230010113200 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 11230010113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18176823275520).

11230010113200 is an abundant number, since it is smaller than the sum of its proper divisors (25123636437840).

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

11230010113200 is a wasteful number, since it uses less digits than its factorization.

11230010113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77476 (or 77465 counting only the distinct ones).

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

Adding to 11230010113200 its reverse (231101003211), we get a palindrome (11461111116411).

The spelling of 11230010113200 in words is "eleven trillion, two hundred thirty billion, ten million, one hundred thirteen thousand, two hundred".