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113180112 = 24331913789
BaseRepresentation
bin1101011111011…
…11110111010000
321212222010221000
412233233313100
5212433230422
615121502000
72543005113
oct657576720
9255863830
10113180112
1158983991
1231aa1900
131a5a99a6
141106257a
159e09cac
hex6befdd0

113180112 has 80 divisors (see below), whose sum is σ = 341992000. Its totient is φ = 35738496.

The previous prime is 113180099. The next prime is 113180117. The reversal of 113180112 is 211081311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113180117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1314 + ... + 15102.

It is an arithmetic number, because the mean of its divisors is an integer number (4274900).

Almost surely, 2113180112 is an apocalyptic number.

113180112 is a gapful number since it is divisible by the number (12) 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 113180112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170996000).

113180112 is an abundant number, since it is smaller than the sum of its proper divisors (228811888).

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

113180112 is a wasteful number, since it uses less digits than its factorization.

113180112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13825 (or 13813 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The square root of 113180112 is about 10638.6141954674. The cubic root of 113180112 is about 483.7155398805.

The spelling of 113180112 in words is "one hundred thirteen million, one hundred eighty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 13789 27578 41367 55156 82734 110312 124101 165468 220624 248202 261991 330936 372303 496404 523982 661872 744606 785973 992808 1047964 1489212 1571946 1985616 2095928 2357919 2978424 3143892 4191856 4715838 5956848 6287784 7073757 9431676 12575568 14147514 18863352 28295028 37726704 56590056 113180112