Search a number
-
+
11233590000 = 24354419133
BaseRepresentation
bin10100111011001001…
…01111101011110000
31001222212222111110220
422131210233223300
5141001244340000
65054410453040
7545243640153
oct123544575360
931885874426
1011233590000
114845083486
122216134180
1310a0442999
14787d17c9a
1545b3311a0
hex29d92faf0

11233590000 has 200 divisors, whose sum is σ = 37152070032. Its totient is φ = 2922240000.

The previous prime is 11233589981. The next prime is 11233590007. The reversal of 11233590000 is 9533211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11233590007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1225434 + ... + 1234566.

Almost surely, 211233590000 is an apocalyptic number.

11233590000 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 11233590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18576035016).

11233590000 is an abundant number, since it is smaller than the sum of its proper divisors (25918480032).

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

11233590000 is an equidigital number, since it uses as much as digits as its factorization.

11233590000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9205 (or 9184 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The spelling of 11233590000 in words is "eleven billion, two hundred thirty-three million, five hundred ninety thousand".