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113302112 = 2572116569
BaseRepresentation
bin1101100000011…
…01101001100000
321220012100021112
412300031221200
5213001131422
615124242452
72544023600
oct660155140
9256170245
10113302112
1158a57610
1231b40428
131a620391
1411094c00
159e30ee2
hex6c0da60

113302112 has 72 divisors (see below), whose sum is σ = 283114440. Its totient is φ = 44136960.

The previous prime is 113302109. The next prime is 113302129. The reversal of 113302112 is 211203311.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13964 + ... + 20532.

It is an arithmetic number, because the mean of its divisors is an integer number (3932145).

Almost surely, 2113302112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141557220).

113302112 is an abundant number, since it is smaller than the sum of its proper divisors (169812328).

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

113302112 is a wasteful number, since it uses less digits than its factorization.

113302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604 (or 6589 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 113302112 is about 10644.3464806441. The cubic root of 113302112 is about 483.8892809600.

Adding to 113302112 its reverse (211203311), we get a palindrome (324505423).

The spelling of 113302112 in words is "one hundred thirteen million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 77 88 98 112 154 176 196 224 308 352 392 539 616 784 1078 1232 1568 2156 2464 4312 6569 8624 13138 17248 26276 45983 52552 72259 91966 105104 144518 183932 210208 289036 321881 367864 505813 578072 643762 735728 1011626 1156144 1287524 1471456 2023252 2312288 2575048 3540691 4046504 5150096 7081382 8093008 10300192 14162764 16186016 28325528 56651056 113302112