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11000112100 = 2252181607741
BaseRepresentation
bin10100011111010100…
…00110001111100100
31001101121122121000021
422033222012033210
5140012012041400
65015310324524
7536410260445
oct121752061744
931347577007
1011000112100
11473530503a
12216bab9744
131063c66693
14764cdd2cc
15445ab271a
hex28fa863e4

11000112100 has 36 divisors (see below), whose sum is σ = 24002162548. Its totient is φ = 4375728000.

The previous prime is 11000112029. The next prime is 11000112103. The reversal of 11000112100 is 121100011.

11000112100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 178703424 + 10821408676 = 13368^2 + 104026^2 .

It is not an unprimeable number, because it can be changed into a prime (11000112103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285771 + ... + 321970.

Almost surely, 211000112100 is an apocalyptic number.

11000112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000112100 is an abundant number, since it is smaller than the sum of its proper divisors (13002050448).

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

11000112100 is a wasteful number, since it uses less digits than its factorization.

11000112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607936 (or 607929 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 11000112100 its reverse (121100011), we get a palindrome (11121212111).

The spelling of 11000112100 in words is "eleven billion, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 181 362 724 905 1810 3620 4525 9050 18100 607741 1215482 2430964 3038705 6077410 12154820 15193525 30387050 60774100 110001121 220002242 440004484 550005605 1100011210 2200022420 2750028025 5500056050 11000112100