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11133100 = 22521129349
BaseRepresentation
bin101010011110…
…000010101100
3202221121202001
4222132002230
510322224400
61034342044
7163426006
oct52360254
922847661
1011133100
116314510
12388a924
1323ca544
14169b376
15e9da6a
hexa9e0ac

11133100 has 72 divisors (see below), whose sum is σ = 27342000. Its totient is φ = 3897600.

The previous prime is 11133077. The next prime is 11133119. The reversal of 11133100 is 133111.

Adding to 11133100 its reverse (133111), we get a palindrome (11266211).

It can be divided in two parts, 11 and 133100, that multiplied together give a square (1464100 = 12102).

It is a super-2 number, since 2×111331002 = 247891831220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31726 + ... + 32074.

It is an arithmetic number, because the mean of its divisors is an integer number (379750).

Almost surely, 211133100 is an apocalyptic number.

11133100 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 11133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13671000).

11133100 is an abundant number, since it is smaller than the sum of its proper divisors (16208900).

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

11133100 is a wasteful number, since it uses less digits than its factorization.

11133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 11133100 is about 3336.6300364290. The cubic root of 11133100 is about 223.2914205647.

The spelling of 11133100 in words is "eleven million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 145 220 275 290 319 349 550 580 638 698 725 1100 1276 1396 1450 1595 1745 2900 3190 3490 3839 6380 6980 7678 7975 8725 10121 15356 15950 17450 19195 20242 31900 34900 38390 40484 50605 76780 95975 101210 111331 191950 202420 222662 253025 383900 445324 506050 556655 1012100 1113310 2226620 2783275 5566550 11133100