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111221201221020 = 2232511191329363473
BaseRepresentation
bin11001010010011110110100…
…001100001011010110011100
3112120210122100202002111210200
4121102132310030023112130
5104034222010003033040
61032314151532103500
732266316022601602
oct3122366414132634
9476718322074720
10111221201221020
1132490712616450
12105834b7304b90
134a0a164094c57
141d671c60bb872
15ccd1ba846630
hex6527b430b59c

111221201221020 has 144 divisors (see below), whose sum is σ = 368233467874272. Its totient is φ = 26948620062720.

The previous prime is 111221201220959. The next prime is 111221201221021. The reversal of 111221201221020 is 20122102122111.

111221201221020 is a `hidden beast` number, since 1 + 1 + 1 + 221 + 201 + 221 + 0 + 20 = 666.

111221201221020 is digitally balanced in base 3, 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 a junction number, because it is equal to n+sod(n) for n = 111221201220984 and 111221201221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111221201221021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10893997 + ... + 18469476.

It is an arithmetic number, because the mean of its divisors is an integer number (2557176860238).

Almost surely, 2111221201221020 is an apocalyptic number.

111221201221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111221201221020 is an abundant number, since it is smaller than the sum of its proper divisors (257012266653252).

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

111221201221020 is a wasteful number, since it uses less digits than its factorization.

111221201221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29365412 (or 29365407 counting only the distinct ones).

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

Adding to 111221201221020 its reverse (20122102122111), we get a palindrome (131343303343131).

The spelling of 111221201221020 in words is "one hundred eleven trillion, two hundred twenty-one billion, two hundred one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1913 1980 3826 5739 7652 9565 11478 17217 19130 21043 22956 28695 34434 38260 42086 57390 63129 68868 84172 86085 105215 114780 126258 172170 189387 210430 252516 315645 344340 378774 420860 631290 757548 946935 1262580 1893870 3787740 29363473 58726946 88090419 117453892 146817365 176180838 264271257 293634730 322998203 352361676 440452095 528542514 587269460 645996406 880904190 968994609 1057085028 1291992812 1321356285 1614991015 1761808380 1937989218 2642712570 2906983827 3229982030 3875978436 4844973045 5285425140 5813967654 6459964060 9689946090 11627935308 14534919135 19379892180 29069838270 56172323849 58139676540 112344647698 168516971547 224689295396 280861619245 337033943094 505550914641 561723238490 617895562339 674067886188 842584857735 1011101829282 1123446476980 1235791124678 1685169715470 1853686687017 2022203658564 2471582249356 2527754573205 3089477811695 3370339430940 3707373374034 5055509146410 5561060061051 6178955623390 7414746748068 9268433435085 10111018292820 11122120122102 12357911246780 18536866870170 22244240244204 27805300305255 37073733740340 55610600610510 111221201221020