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113322042 = 232191033217
BaseRepresentation
bin1101100000100…
…10100000111010
321220020100121200
412300102200322
5213002301132
615124515030
72544135651
oct660224072
9256210550
10113322042
1158a70589
1231b4ba76
131a629482
141109c198
159e36d7c
hex6c1283a

113322042 has 48 divisors (see below), whose sum is σ = 261044160. Its totient is φ = 35427456.

The previous prime is 113322037. The next prime is 113322047. The reversal of 113322042 is 240223311.

It is an interprime number because it is at equal distance from previous prime (113322037) and next prime (113322047).

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

It is not an unprimeable number, because it can be changed into a prime (113322047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 33618 + ... + 36834.

It is an arithmetic number, because the mean of its divisors is an integer number (5438420).

Almost surely, 2113322042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113322042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130522080).

113322042 is an abundant number, since it is smaller than the sum of its proper divisors (147722118).

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

113322042 is a wasteful number, since it uses less digits than its factorization.

113322042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3344 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 113322042 is about 10645.2826171972. The cubic root of 113322042 is about 483.9176515638.

Adding to 113322042 its reverse (240223311), we get a palindrome (353545353).

The spelling of 113322042 in words is "one hundred thirteen million, three hundred twenty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 103 114 171 206 309 342 618 927 1854 1957 3217 3914 5871 6434 9651 11742 17613 19302 28953 35226 57906 61123 122246 183369 331351 366738 550107 662702 994053 1100214 1988106 2982159 5964318 6295669 12591338 18887007 37774014 56661021 113322042