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113103120 = 24351336251
BaseRepresentation
bin1101011110111…
…01000100010000
321212211020022110
412233131010100
5212423244440
615120105320
72542234464
oct657350420
9255736273
10113103120
1158931059
1231a65240
131a580930
14110424a4
159de2080
hex6bdd110

113103120 has 80 divisors (see below), whose sum is σ = 377600832. Its totient is φ = 27840000.

The previous prime is 113103101. The next prime is 113103127. The reversal of 113103120 is 21301311.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 113103096 and 113103105.

It is not an unprimeable number, because it can be changed into a prime (113103127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15006 + ... + 21245.

Almost surely, 2113103120 is an apocalyptic number.

113103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113103120 is an abundant number, since it is smaller than the sum of its proper divisors (264497712).

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

113103120 is a wasteful number, since it uses less digits than its factorization.

113103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36280 (or 36274 counting only the distinct ones).

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

The square root of 113103120 is about 10634.9950634685. The cubic root of 113103120 is about 483.6058307505.

Adding to 113103120 its reverse (21301311), we get a palindrome (134404431).

The spelling of 113103120 in words is "one hundred thirteen million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 36251 72502 108753 145004 181255 217506 290008 362510 435012 471263 543765 580016 725020 870024 942526 1087530 1413789 1450040 1740048 1885052 2175060 2356315 2827578 2900080 3770104 4350120 4712630 5655156 7068945 7540208 8700240 9425260 11310312 14137890 18850520 22620624 28275780 37701040 56551560 113103120