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11011100112 = 243297788309
BaseRepresentation
bin10100100000101000…
…00000110111010000
31001102101022211201200
422100110000313100
5140022320200422
65020342031200
7536602543455
oct122024006720
931371284650
1011011100112
11474052a541
122173718500
131066312b6c
1476655d82c
15446a332ac
hex290500dd0

11011100112 has 60 divisors (see below), whose sum is σ = 31133515140. Its totient is φ = 3632523264.

The previous prime is 11011100099. The next prime is 11011100117. The reversal of 11011100112 is 21100111011.

It can be written as a sum of positive squares in 2 ways, for example, as 2388863376 + 8622236736 = 48876^2 + 92856^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11011100094 and 11011100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011100117) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 380187 + ... + 408122.

It is an arithmetic number, because the mean of its divisors is an integer number (518891919).

Almost surely, 211011100112 is an apocalyptic number.

11011100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11011100112 is an abundant number, since it is smaller than the sum of its proper divisors (20122415028).

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

11011100112 is a wasteful number, since it uses less digits than its factorization.

11011100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788420 (or 788411 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11011100112 its reverse (21100111011), we get a palindrome (32111211123).

The spelling of 11011100112 in words is "eleven billion, eleven million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 97 144 194 291 388 582 776 873 1164 1552 1746 2328 3492 4656 6984 13968 788309 1576618 2364927 3153236 4729854 6306472 7094781 9459708 12612944 14189562 18919416 28379124 37838832 56758248 76465973 113516496 152931946 229397919 305863892 458795838 611727784 688193757 917591676 1223455568 1376387514 1835183352 2752775028 3670366704 5505550056 11011100112