Search a number
-
+
11013300 = 2233524079
BaseRepresentation
bin101010000000…
…110010110100
3202201112102000
4222000302310
510304411200
61032015300
7162416514
oct52006264
922645360
1011013300
116242501
123831530
132387b5c
141669844
15e78300
hexa80cb4

11013300 has 72 divisors (see below), whose sum is σ = 35414400. Its totient is φ = 2936160.

The previous prime is 11013271. The next prime is 11013329. The reversal of 11013300 is 331011.

It is an interprime number because it is at equal distance from previous prime (11013271) and next prime (11013329).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 661 + ... + 4739.

Almost surely, 211013300 is an apocalyptic number.

11013300 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 11013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17707200).

11013300 is an abundant number, since it is smaller than the sum of its proper divisors (24401100).

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

11013300 is a wasteful number, since it uses less digits than its factorization.

11013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4102 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 11013300 is about 3318.6292350909. The cubic root of 11013300 is about 222.4876060933.

Adding to 11013300 its reverse (331011), we get a palindrome (11344311).

The spelling of 11013300 in words is "eleven million, thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 4079 8158 12237 16316 20395 24474 36711 40790 48948 61185 73422 81580 101975 110133 122370 146844 183555 203950 220266 244740 305925 367110 407900 440532 550665 611850 734220 917775 1101330 1223700 1835550 2202660 2753325 3671100 5506650 11013300