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111000020120 = 235118326911299
BaseRepresentation
bin110011101100000011…
…1011110010010011000
3101121111210010021002022
41213120013132102120
53304312001120440
6122554231354012
711006453414003
oct1473007362230
9347453107068
10111000020120
1143090688020
1219619822908
13a60c7432a2
14552dd3853a
152d49ccecb5
hex19d81de498

111000020120 has 128 divisors (see below), whose sum is σ = 276786720000. Its totient is φ = 39725575680.

The previous prime is 111000020077. The next prime is 111000020123. The reversal of 111000020120 is 21020000111.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 111000020098 and 111000020107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111000020123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9818231 + ... + 9829529.

It is an arithmetic number, because the mean of its divisors is an integer number (2162396250).

Almost surely, 2111000020120 is an apocalyptic number.

111000020120 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 111000020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138393360000).

111000020120 is an abundant number, since it is smaller than the sum of its proper divisors (165786699880).

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

111000020120 is a wasteful number, since it uses less digits than its factorization.

111000020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11673 (or 11669 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 111000020120 its reverse (21020000111), we get a palindrome (132020020231).

The spelling of 111000020120 in words is "one hundred eleven billion, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 110 166 220 269 332 415 440 538 664 830 913 1076 1345 1660 1826 2152 2690 2959 3320 3652 4565 5380 5918 7304 9130 10760 11299 11836 14795 18260 22327 22598 23672 29590 36520 44654 45196 56495 59180 89308 90392 111635 112990 118360 124289 178616 223270 225980 245597 248578 446540 451960 491194 497156 621445 893080 937817 982388 994312 1227985 1242890 1875634 1964776 2455970 2485780 3039431 3751268 4689085 4911940 4971560 6078862 7502536 9378170 9823880 10315987 12157724 15197155 18756340 20631974 24315448 30394310 33433741 37512680 41263948 51579935 60788620 66867482 82527896 103159870 121577240 133734964 167168705 206319740 252272773 267469928 334337410 412639480 504545546 668674820 1009091092 1261363865 1337349640 2018182184 2522727730 2775000503 5045455460 5550001006 10090910920 11100002012 13875002515 22200004024 27750005030 55500010060 111000020120