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111020022120 = 23357516725579
BaseRepresentation
bin110011101100101001…
…1110001100101101000
3101121120011202110200010
41213121103301211220
53304332111201440
6123000224211520
711010115421610
oct1473123614550
9347504673603
10111020022120
11430a09a98a7
1219624469ba0
13a6139275a7
145532863a40
152d4b931580
hex19d94f1968

111020022120 has 128 divisors (see below), whose sum is σ = 380728627200. Its totient is φ = 25370102016.

The previous prime is 111020022107. The next prime is 111020022149. The reversal of 111020022120 is 21220020111.

It is a super-3 number, since 3×1110200221203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 111020022096 and 111020022105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4327491 + ... + 4353069.

It is an arithmetic number, because the mean of its divisors is an integer number (2974442400).

Almost surely, 2111020022120 is an apocalyptic number.

111020022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111020022120 is an abundant number, since it is smaller than the sum of its proper divisors (269708605080).

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

111020022120 is a wasteful number, since it uses less digits than its factorization.

111020022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30767 (or 30763 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 111020022120 its reverse (21220020111), we get a palindrome (132240042231).

The spelling of 111020022120 in words is "one hundred eleven billion, twenty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 5167 10334 15501 20668 25579 25835 31002 36169 41336 51158 51670 62004 72338 76737 77505 102316 103340 108507 124008 127895 144676 153474 155010 179053 180845 204632 206680 217014 255790 289352 306948 310020 358106 361690 383685 434028 511580 537159 542535 613896 620040 716212 723380 767370 868056 895265 1023160 1074318 1085070 1432424 1446760 1534740 1790530 2148636 2170140 2685795 3069480 3581060 4297272 4340280 5371590 7162120 10743180 21486360 132166693 264333386 396500079 528666772 660833465 793000158 925166851 1057333544 1321666930 1586000316 1850333702 1982500395 2643333860 2775500553 3172000632 3700667404 3965000790 4625834255 5286667720 5551001106 7401334808 7930001580 9251668510 11102002212 13877502765 15860003160 18503337020 22204004424 27755005530 37006674040 55510011060 111020022120