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111313313320 = 235111722366733
BaseRepresentation
bin110011110101011001…
…0100101111000101000
3101122022121122012120011
41213222302211320220
53310432202011240
6123045302341304
711020306360156
oct1475262457050
9348277565504
10111313313320
1143231510920
12196a672a834
13a65c616891
14555d7ac3d6
152d675676ea
hex19eaca5e28

111313313320 has 128 divisors (see below), whose sum is σ = 290597207040. Its totient is φ = 37925130240.

The previous prime is 111313313257. The next prime is 111313313323. The reversal of 111313313320 is 23313313111.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 111313313291 and 111313313300.

It is not an unprimeable number, because it can be changed into a prime (111313313323) by changing a digit.

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, 1634674 + ... + 1701406.

It is an arithmetic number, because the mean of its divisors is an integer number (2270290680).

Almost surely, 2111313313320 is an apocalyptic number.

111313313320 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 111313313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145298603520).

111313313320 is an abundant number, since it is smaller than the sum of its proper divisors (179283893720).

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

111313313320 is a wasteful number, since it uses less digits than its factorization.

111313313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66995 (or 66991 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 111313313320 its reverse (23313313111), we get a palindrome (134626626431).

The spelling of 111313313320 in words is "one hundred eleven billion, three hundred thirteen million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 223 340 374 440 446 680 748 892 935 1115 1496 1784 1870 2230 2453 3740 3791 4460 4906 7480 7582 8920 9812 12265 15164 18955 19624 24530 30328 37910 41701 49060 66733 75820 83402 98120 133466 151640 166804 208505 266932 333608 333665 417010 533864 667330 734063 834020 1134461 1334660 1468126 1668040 2268922 2669320 2936252 3670315 4537844 5672305 5872504 7340630 9075688 11344610 12479071 14681260 14881459 22689220 24958142 29362520 29762918 45378440 49916284 59525836 62395355 74407295 99832568 119051672 124790710 148814590 163696049 249581420 252984803 297629180 327392098 499162840 505969606 595258360 654784196 818480245 1011939212 1264924015 1309568392 1636960490 2023878424 2529848030 2782832833 3273920980 5059696060 5565665666 6547841960 10119392120 11131331332 13914164165 22262662664 27828328330 55656656660 111313313320