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12110110100 = 22521111009191
BaseRepresentation
bin10110100011101000…
…11001110110010100
31011020222022100000022
423101310121312110
5144300142010400
65321401404312
7606046144304
oct132164316624
934228270008
1012110110100
115154928a60
12241b799698
1311acc0802a
1482c4c1604
154ad270b85
hex2d1d19d94

12110110100 has 36 divisors (see below), whose sum is σ = 28667935968. Its totient is φ = 4403676000.

The previous prime is 12110110097. The next prime is 12110110109. The reversal of 12110110100 is 101101121.

It is a happy number.

12110110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×121101101004 (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110110109) 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, 5503496 + ... + 5505695.

Almost surely, 212110110100 is an apocalyptic number.

12110110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110110100 is an abundant number, since it is smaller than the sum of its proper divisors (16557825868).

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

12110110100 is a wasteful number, since it uses less digits than its factorization.

12110110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11009216 (or 11009209 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 12110110100 its reverse (101101121), we get a palindrome (12211211221).

The spelling of 12110110100 in words is "twelve billion, one hundred ten million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 11009191 22018382 44036764 55045955 110091910 121101101 220183820 242202202 275229775 484404404 550459550 605505505 1100919100 1211011010 2422022020 3027527525 6055055050 12110110100