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11681100 = 22325212979
BaseRepresentation
bin101100100011…
…110101001100
3210222110110100
4230203311030
510442243400
61054211100
7201200454
oct54436514
923873410
1011681100
116659202
123ab3a90
13255cac2
1417a0d64
15105b100
hexb23d4c

11681100 has 54 divisors (see below), whose sum is σ = 36616580. Its totient is φ = 3114720.

The previous prime is 11681093. The next prime is 11681129. The reversal of 11681100 is 118611.

11681100 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 (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5590 + ... + 7389.

Almost surely, 211681100 is an apocalyptic number.

11681100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11681100 is an abundant number, since it is smaller than the sum of its proper divisors (24935480).

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

11681100 is a wasteful number, since it uses less digits than its factorization.

11681100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12999 (or 12989 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 11681100 is about 3417.7624259155. The cubic root of 11681100 is about 226.8965612548.

Adding to 11681100 its reverse (118611), we get a palindrome (11799711).

It can be divided in two parts, 11681 and 100, that added together give a triangular number (11781 = T153).

The spelling of 11681100 in words is "eleven million, six hundred eighty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 12979 25958 38937 51916 64895 77874 116811 129790 155748 194685 233622 259580 324475 389370 467244 584055 648950 778740 973425 1168110 1297900 1946850 2336220 2920275 3893700 5840550 11681100