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11100020112 = 243325694491
BaseRepresentation
bin10100101011001110…
…01101110110010000
31001122120122110001000
422111213031312100
5140213101120422
65033235542000
7542032420446
oct122547156620
931576573030
1011100020112
114786743445
12219945a900
13107b87734c
147742a8b96
1544e749cac
hex2959cdd90

11100020112 has 40 divisors (see below), whose sum is σ = 31861170080. Its totient is φ = 3700006560.

The previous prime is 11100020059. The next prime is 11100020119. The reversal of 11100020112 is 21102000111.

It is a happy number.

11100020112 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 (9).

It is a junction number, because it is equal to n+sod(n) for n = 11100020094 and 11100020103.

It is not an unprimeable number, because it can be changed into a prime (11100020119) 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 7 ways as a sum of consecutive naturals, for example, 12846814 + ... + 12847677.

It is an arithmetic number, because the mean of its divisors is an integer number (796529252).

Almost surely, 211100020112 is an apocalyptic number.

11100020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11100020112 is an abundant number, since it is smaller than the sum of its proper divisors (20761149968).

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

11100020112 is a wasteful number, since it uses less digits than its factorization.

11100020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25694508 (or 25694496 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11100020112 its reverse (21102000111), we get a palindrome (32202020223).

The spelling of 11100020112 in words is "eleven billion, one hundred million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 25694491 51388982 77083473 102777964 154166946 205555928 231250419 308333892 411111856 462500838 616667784 693751257 925001676 1233335568 1387502514 1850003352 2775005028 3700006704 5550010056 11100020112