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113324220 = 223252331883
BaseRepresentation
bin1101100000100…
…11000010111100
321220020110121100
412300103002330
5213002333340
615124533100
72544145212
oct660230274
9256213540
10113324220
1158a72189
1231b51190
131a62a469
141109ccb2
159e37830
hex6c130bc

113324220 has 144 divisors (see below), whose sum is σ = 370685952. Its totient is φ = 27941760.

The previous prime is 113324213. The next prime is 113324231. The reversal of 113324220 is 22423311.

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 = 113324193 and 113324202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127899 + ... + 128781.

It is an arithmetic number, because the mean of its divisors is an integer number (2574208).

Almost surely, 2113324220 is an apocalyptic number.

113324220 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 113324220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185342976).

113324220 is an abundant number, since it is smaller than the sum of its proper divisors (257361732).

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

113324220 is a wasteful number, since it uses less digits than its factorization.

113324220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 113324220 is about 10645.3849155397. The cubic root of 113324220 is about 483.9207517723.

Adding to 113324220 its reverse (22423311), we get a palindrome (135747531).

Subtracting from 113324220 its reverse (22423311), we obtain a palindrome (90900909).

The spelling of 113324220 in words is "one hundred thirteen million, three hundred twenty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 31 36 45 46 60 62 69 90 92 93 115 124 138 155 180 186 207 230 276 279 310 345 372 414 460 465 558 620 690 713 828 883 930 1035 1116 1380 1395 1426 1766 1860 2070 2139 2649 2790 2852 3532 3565 4140 4278 4415 5298 5580 6417 7130 7947 8556 8830 10596 10695 12834 13245 14260 15894 17660 20309 21390 25668 26490 27373 31788 32085 39735 40618 42780 52980 54746 60927 64170 79470 81236 82119 101545 109492 121854 128340 136865 158940 164238 182781 203090 243708 246357 273730 304635 328476 365562 406180 410595 492714 547460 609270 629579 731124 821190 913905 985428 1218540 1231785 1259158 1642380 1827810 1888737 2463570 2518316 3147895 3655620 3777474 4927140 5666211 6295790 7554948 9443685 11332422 12591580 18887370 22664844 28331055 37774740 56662110 113324220