Search a number
-
+
11313022200 = 23352314712941
BaseRepresentation
bin10101000100100111…
…10000010011111000
31002012102110001222020
422202103300103320
5141132113202300
65110325154440
7550230050004
oct124223602370
932172401866
1011313022200
1148859a7027
12223885ba20
1310b3a3479c
147946b3704
154632c18a0
hex2a24f04f8

11313022200 has 192 divisors, whose sum is σ = 36974776320. Its totient is φ = 2857152000.

The previous prime is 11313022163. The next prime is 11313022243. The reversal of 11313022200 is 222031311.

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 11313022200.

It is a congruent number.

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, 867730 + ... + 880670.

It is an arithmetic number, because the mean of its divisors is an integer number (192576960).

Almost surely, 211313022200 is an apocalyptic number.

11313022200 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 11313022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18487388160).

11313022200 is an abundant number, since it is smaller than the sum of its proper divisors (25661754120).

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

11313022200 is a wasteful number, since it uses less digits than its factorization.

11313022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13038 (or 13029 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 11313022200 its reverse (222031311), we get a palindrome (11535053511).

The spelling of 11313022200 in words is "eleven billion, three hundred thirteen million, twenty-two thousand, two hundred".