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11200100 = 2252472383
BaseRepresentation
bin101010101110…
…011001100100
3210002000122112
4222232121210
510331400400
61040020152
7164125232
oct52563144
923060575
1011200100
11635a88a
123901658
132421ba2
1416b7952
15eb3835
hexaae664

11200100 has 36 divisors (see below), whose sum is σ = 24831744. Its totient is φ = 4382880.

The previous prime is 11200097. The next prime is 11200109. The reversal of 11200100 is 100211.

Adding to 11200100 its reverse (100211), we get a palindrome (11300311).

It is a happy number.

11200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11200109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3509 + ... + 5891.

Almost surely, 211200100 is an apocalyptic number.

11200100 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 11200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12415872).

11200100 is an abundant number, since it is smaller than the sum of its proper divisors (13631644).

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

11200100 is a wasteful number, since it uses less digits than its factorization.

11200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 11200100 is about 3346.6550464606. The cubic root of 11200100 is about 223.7384543006.

The spelling of 11200100 in words is "eleven million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 2383 4700 4766 9532 11915 23830 47660 59575 112001 119150 224002 238300 448004 560005 1120010 2240020 2800025 5600050 11200100