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113310120 = 233571112263
BaseRepresentation
bin1101100000011…
…11100110101000
321220012202021010
412300033212220
5213001410440
615124343520
72544056130
oct660174650
9256182233
10113310120
1158a62630
1231b44ba0
131a623c11
1411097ac0
159e33580
hex6c0f9a8

113310120 has 128 divisors (see below), whose sum is σ = 423843840. Its totient is φ = 23543040.

The previous prime is 113310073. The next prime is 113310133. The reversal of 113310120 is 21013311.

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 = 113310096 and 113310105.

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 31 ways as a sum of consecutive naturals, for example, 3109 + ... + 15371.

It is an arithmetic number, because the mean of its divisors is an integer number (3311280).

Almost surely, 2113310120 is an apocalyptic number.

113310120 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 113310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211921920).

113310120 is an abundant number, since it is smaller than the sum of its proper divisors (310533720).

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

113310120 is a wasteful number, since it uses less digits than its factorization.

113310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12295 (or 12291 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 113310120 is about 10644.7226361235. The cubic root of 113310120 is about 483.9006808478.

Adding to 113310120 its reverse (21013311), we get a palindrome (134323431).

The spelling of 113310120 in words is "one hundred thirteen million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 12263 24526 36789 49052 61315 73578 85841 98104 122630 134893 147156 171682 183945 245260 257523 269786 294312 343364 367890 404679 429205 490520 515046 539572 674465 686728 735780 809358 858410 944251 1030092 1079144 1287615 1348930 1471560 1618716 1716820 1888502 2023395 2060184 2575230 2697860 2832753 3237432 3433640 3777004 4046790 4721255 5150460 5395720 5665506 7554008 8093580 9442510 10300920 11331012 14163765 16187160 18885020 22662024 28327530 37770040 56655060 113310120