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11120100 = 22352101367
BaseRepresentation
bin101010011010…
…110111100100
3202220221220120
4222122313210
510321320400
61034201540
7163343055
oct52326744
922827816
1011120100
116305772
1238832b0
1323c4654
14169672c
15e99ca0
hexa9ade4

11120100 has 72 divisors (see below), whose sum is σ = 32581248. Its totient is φ = 2928000.

The previous prime is 11120099. The next prime is 11120107. The reversal of 11120100 is 102111.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30117 + ... + 30483.

Almost surely, 211120100 is an apocalyptic number.

11120100 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 11120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16290624).

11120100 is an abundant number, since it is smaller than the sum of its proper divisors (21461148).

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

11120100 is a wasteful number, since it uses less digits than its factorization.

11120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 11120100 is about 3334.6813940765. The cubic root of 11120100 is about 223.2044750583.

Adding to 11120100 its reverse (102111), we get a palindrome (11222211).

The spelling of 11120100 in words is "eleven million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 367 404 505 606 734 1010 1101 1212 1468 1515 1835 2020 2202 2525 3030 3670 4404 5050 5505 6060 7340 7575 9175 10100 11010 15150 18350 22020 27525 30300 36700 37067 55050 74134 110100 111201 148268 185335 222402 370670 444804 556005 741340 926675 1112010 1853350 2224020 2780025 3706700 5560050 11120100