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113322104 = 23722312569
BaseRepresentation
bin1101100000100…
…10100001111000
321220020100200222
412300102201320
5213002301404
615124515212
72544136100
oct660224170
9256210628
10113322104
1158a70635
1231b4bb08
131a6294cc
141109c200
159e36dbe
hex6c12878

113322104 has 48 divisors (see below), whose sum is σ = 257936400. Its totient is φ = 46451328.

The previous prime is 113322091. The next prime is 113322179. The reversal of 113322104 is 401223311.

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, 2732 + ... + 15300.

It is an arithmetic number, because the mean of its divisors is an integer number (5373675).

Almost surely, 2113322104 is an apocalyptic number.

113322104 is a gapful number since it is divisible by the number (14) 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 113322104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128968200).

113322104 is an abundant number, since it is smaller than the sum of its proper divisors (144614296).

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

113322104 is a wasteful number, since it uses less digits than its factorization.

113322104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12612 (or 12601 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 113322104 is about 10645.2855292848. The cubic root of 113322104 is about 483.9177398163.

Adding to 113322104 its reverse (401223311), we get a palindrome (514545415).

The spelling of 113322104 in words is "one hundred thirteen million, three hundred twenty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 322 392 644 1127 1288 2254 4508 9016 12569 25138 50276 87983 100552 175966 289087 351932 578174 615881 703864 1156348 1231762 2023609 2312696 2463524 4047218 4927048 8094436 14165263 16188872 28330526 56661052 113322104