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111212660 = 22513521821
BaseRepresentation
bin1101010000011…
…11100001110100
321202021012002102
412220033201310
5211432301120
615011401232
72520202106
oct650174164
9252235072
10111212660
115785a799
12312b3218
131a06b310
1410aad576
159b6bd75
hex6a0f874

111212660 has 48 divisors (see below), whose sum is σ = 252301392. Its totient is φ = 40934400.

The previous prime is 111212617. The next prime is 111212683. The reversal of 111212660 is 66212111.

It can be written as a sum of positive squares in 8 ways, for example, as 25020004 + 86192656 = 5002^2 + 9284^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135050 + ... + 135870.

It is an arithmetic number, because the mean of its divisors is an integer number (5256279).

Almost surely, 2111212660 is an apocalyptic number.

111212660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111212660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126150696).

111212660 is an abundant number, since it is smaller than the sum of its proper divisors (141088732).

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

111212660 is a wasteful number, since it uses less digits than its factorization.

111212660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 111212660 is about 10545.7413205521. The cubic root of 111212660 is about 480.8962710149.

Adding to 111212660 its reverse (66212111), we get a palindrome (177424771).

The spelling of 111212660 in words is "one hundred eleven million, two hundred twelve thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 521 821 1042 1642 2084 2605 3284 4105 5210 6773 8210 10420 10673 13546 16420 21346 27092 33865 42692 53365 67730 106730 135460 213460 427741 855482 1710964 2138705 4277410 5560633 8554820 11121266 22242532 27803165 55606330 111212660