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111313620 = 2232511173307
BaseRepresentation
bin1101010001010…
…00001011010100
321202110022120200
412220220023110
5211444013440
615013500500
72521102335
oct650501324
9252408520
10111313620
1157919630
1231341730
131a0a5262
1410ad828c
159b8bc30
hex6a282d4

111313620 has 144 divisors (see below), whose sum is σ = 390132288. Its totient is φ = 25390080.

The previous prime is 111313619. The next prime is 111313633. The reversal of 111313620 is 26313111.

111313620 is a `hidden beast` number, since 1 + 11 + 31 + 3 + 620 = 666.

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 = 111313593 and 111313602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32007 + ... + 35313.

It is an arithmetic number, because the mean of its divisors is an integer number (2709252).

Almost surely, 2111313620 is an apocalyptic number.

111313620 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 111313620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195066144).

111313620 is an abundant number, since it is smaller than the sum of its proper divisors (278818668).

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

111313620 is a wasteful number, since it uses less digits than its factorization.

111313620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 111313620 is about 10550.5270010554. The cubic root of 111313620 is about 481.0417478673.

Adding to 111313620 its reverse (26313111), we get a palindrome (137626731).

The spelling of 111313620 in words is "one hundred eleven million, three hundred thirteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3307 3366 3740 5610 6614 6732 8415 9921 11220 13228 16535 16830 19842 29763 33070 33660 36377 39684 49605 56219 59526 66140 72754 99210 109131 112438 119052 145508 148815 168657 181885 198420 218262 224876 281095 297630 327393 337314 363770 436524 505971 545655 562190 595260 618409 654786 674628 727540 843285 1011942 1091310 1124380 1236818 1309572 1636965 1686570 1855227 2023884 2182620 2473636 2529855 3092045 3273930 3373140 3710454 5059710 5565681 6184090 6547860 7420908 9276135 10119420 11131362 12368180 18552270 22262724 27828405 37104540 55656810 111313620