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111023220 = 223572113433
BaseRepresentation
bin1101001111000…
…01010001110100
321201220120020010
412213201101310
5211410220340
615003340220
72515452600
oct647412164
9251816203
10111023220
1157740430
1231221670
131a003019
1410a60500
159b30b80
hex69e1474

111023220 has 144 divisors (see below), whose sum is σ = 394607808. Its totient is φ = 23063040.

The previous prime is 111023219. The next prime is 111023249. The reversal of 111023220 is 22320111.

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 = 111023196 and 111023205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30624 + ... + 34056.

It is an arithmetic number, because the mean of its divisors is an integer number (2740332).

Almost surely, 2111023220 is an apocalyptic number.

111023220 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 111023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197303904).

111023220 is an abundant number, since it is smaller than the sum of its proper divisors (283584588).

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

111023220 is a wasteful number, since it uses less digits than its factorization.

111023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3470 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 111023220 is about 10536.7556676617. The cubic root of 111023220 is about 480.6230624137.

Adding to 111023220 its reverse (22320111), we get a palindrome (133343331).

The spelling of 111023220 in words is "one hundred eleven million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 49 55 60 66 70 77 84 98 105 110 132 140 147 154 165 196 210 220 231 245 294 308 330 385 420 462 490 539 588 660 735 770 924 980 1078 1155 1470 1540 1617 2156 2310 2695 2940 3234 3433 4620 5390 6468 6866 8085 10299 10780 13732 16170 17165 20598 24031 32340 34330 37763 41196 48062 51495 68660 72093 75526 96124 102990 113289 120155 144186 151052 168217 188815 205980 226578 240310 264341 288372 336434 360465 377630 453156 480620 504651 528682 566445 672868 720930 755260 793023 841085 1009302 1057364 1132890 1321705 1441860 1586046 1682170 1850387 2018604 2265780 2523255 2643410 3172092 3364340 3700774 3965115 5046510 5286820 5551161 7401548 7930230 9251935 10093020 11102322 15860460 18503870 22204644 27755805 37007740 55511610 111023220