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111313320 = 23357397131
BaseRepresentation
bin1101010001010…
…00000110101000
321202110022011120
412220220012220
5211444011240
615013455240
72521101426
oct650500650
9252408146
10111313320
1157919388
1231341520
131a0a5091
1410ad8116
159b8bad0
hex6a281a8

111313320 has 128 divisors (see below), whose sum is σ = 344615040. Its totient is φ = 28753920.

The previous prime is 111313313. The next prime is 111313327. The reversal of 111313320 is 23313111.

It is an interprime number because it is at equal distance from previous prime (111313313) and next prime (111313327).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111313320.

It is not an unprimeable number, because it can be changed into a prime (111313327) 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, 849655 + ... + 849785.

It is an arithmetic number, because the mean of its divisors is an integer number (2692305).

Almost surely, 2111313320 is an apocalyptic number.

111313320 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 111313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172307520).

111313320 is an abundant number, since it is smaller than the sum of its proper divisors (233301720).

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

111313320 is a wasteful number, since it uses less digits than its factorization.

111313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 111313320 is about 10550.5127837466. The cubic root of 111313320 is about 481.0413157169.

Adding to 111313320 its reverse (23313111), we get a palindrome (134626431).

The spelling of 111313320 in words is "one hundred eleven million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 97 120 131 146 194 219 262 291 292 365 388 393 438 485 524 582 584 655 730 776 786 876 970 1048 1095 1164 1310 1455 1460 1572 1752 1940 1965 2190 2328 2620 2910 2920 3144 3880 3930 4380 5240 5820 7081 7860 8760 9563 11640 12707 14162 15720 19126 21243 25414 28324 28689 35405 38121 38252 42486 47815 50828 56648 57378 63535 70810 76242 76504 84972 95630 101656 106215 114756 127070 141620 143445 152484 169944 190605 191260 212430 229512 254140 283240 286890 304968 381210 382520 424860 508280 573780 762420 849720 927611 1147560 1524840 1855222 2782833 3710444 4638055 5565666 7420888 9276110 11131332 13914165 18552220 22262664 27828330 37104440 55656660 111313320