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111220103120 = 2457892399337
BaseRepresentation
bin110011110010100111…
…1000001011111010000
3101122002010020122012112
41213211033001133100
53310234321244440
6123032132444452
711015065164260
oct1474517013720
9348063218175
10111220103120
11431939376a5
121967b479728
13a64620c709
1455512677a0
152d5e2a4965
hex19e53c17d0

111220103120 has 160 divisors (see below), whose sum is σ = 300130790400. Its totient is φ = 37542371328.

The previous prime is 111220103089. The next prime is 111220103173. The reversal of 111220103120 is 21301022111.

111220103120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1112201031202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 111220103095 and 111220103104.

It is a congruent number.

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, 11907092 + ... + 11916428.

It is an arithmetic number, because the mean of its divisors is an integer number (1875817440).

Almost surely, 2111220103120 is an apocalyptic number.

111220103120 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 111220103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150065395200).

111220103120 is an abundant number, since it is smaller than the sum of its proper divisors (188910687280).

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

111220103120 is a wasteful number, since it uses less digits than its factorization.

111220103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9685 (or 9679 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 111220103120 its reverse (21301022111), we get a palindrome (132521125231).

The spelling of 111220103120 in words is "one hundred eleven billion, two hundred twenty million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 89 112 140 178 239 280 356 445 478 560 623 712 890 956 1195 1246 1424 1673 1780 1912 2390 2492 3115 3346 3560 3824 4780 4984 6230 6692 7120 8365 9337 9560 9968 12460 13384 16730 18674 19120 21271 24920 26768 33460 37348 42542 46685 49840 65359 66920 74696 85084 93370 106355 130718 133840 148897 149392 170168 186740 212710 261436 297794 326795 340336 373480 425420 522872 595588 653590 744485 746960 830993 850840 1045744 1191176 1307180 1488970 1661986 1701680 2231543 2382352 2614360 2977940 3323972 4154965 4463086 5228720 5816951 5955880 6647944 8309930 8926172 11157715 11633902 11911760 13295888 15620801 16619860 17852344 22315430 23267804 29084755 31241602 33239720 35704688 44630860 46535608 58169510 62483204 66479440 78104005 89261720 93071216 116339020 124966408 156208010 178523440 198607327 232678040 249932816 312416020 397214654 465356080 624832040 794429308 993036635 1249664080 1390251289 1588858616 1986073270 2780502578 3177717232 3972146540 5561005156 6951256445 7944293080 11122010312 13902512890 15888586160 22244020624 27805025780 55610051560 111220103120