Search a number
-
+
111212201200212 = 22327263045465533
BaseRepresentation
bin11001010010010110011011…
…101111110100101001010100
3112120202210010111222002020200
4121102112123233310221110
5104034100042001401322
61032310102510300500
732265550006643100
oct3122263357645124
9476683114862220
10111212201200212
1132487914310622
12105818051b7730
134a0935b608358
141d669b0a9c900
15cccd406638ac
hex65259bbf4a54

111212201200212 has 54 divisors (see below), whose sum is σ = 327016829724858. Its totient is φ = 31774914628128.

The previous prime is 111212201200183. The next prime is 111212201200297. The reversal of 111212201200212 is 212002102212111.

111212201200212 is a `hidden beast` number, since 1 + 11 + 21 + 220 + 1 + 200 + 212 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60306344992656 + 50905856207556 = 7765716^2 + 7134834^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 31522731003 + ... + 31522734530.

It is an arithmetic number, because the mean of its divisors is an integer number (6055867217127).

Almost surely, 2111212201200212 is an apocalyptic number.

111212201200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111212201200212 is an abundant number, since it is smaller than the sum of its proper divisors (215804628524646).

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

111212201200212 is a wasteful number, since it uses less digits than its factorization.

111212201200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63045465557 (or 63045465545 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 111212201200212 its reverse (212002102212111), we get a palindrome (323214303412323).

The spelling of 111212201200212 in words is "one hundred eleven trillion, two hundred twelve billion, two hundred one million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 63045465533 126090931066 189136396599 252181862132 378272793198 441318258731 567409189797 756545586396 882636517462 1134818379594 1323954776193 1765273034924 2269636759188 2647909552386 3089227811117 3971864328579 5295819104772 6178455622234 7943728657158 9267683433351 12356911244468 15887457314316 18535366866702 27803050300053 37070733733404 55606100600106 111212201200212