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113023242 = 233172353101
BaseRepresentation
bin1101011110010…
…01100100001010
321212200011202000
412233021210022
5212413220432
615114251430
72541452553
oct657114412
9255604660
10113023242
1158887042
1231a26b76
131a553477
141102132a
159dc857c
hex6bc990a

113023242 has 128 divisors (see below), whose sum is σ = 285534720. Its totient is φ = 32947200.

The previous prime is 113023231. The next prime is 113023249. The reversal of 113023242 is 242320311.

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 (113023249) 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 63 ways as a sum of consecutive naturals, for example, 1118992 + ... + 1119092.

It is an arithmetic number, because the mean of its divisors is an integer number (2230740).

Almost surely, 2113023242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113023242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142767360).

113023242 is an abundant number, since it is smaller than the sum of its proper divisors (172511478).

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

113023242 is a wasteful number, since it uses less digits than its factorization.

113023242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 199 counting only the distinct ones).

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

The square root of 113023242 is about 10631.2389682482. The cubic root of 113023242 is about 483.4919566033.

Adding to 113023242 its reverse (242320311), we get a palindrome (355343553).

The spelling of 113023242 in words is "one hundred thirteen million, twenty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 53 54 69 101 102 106 138 153 159 202 207 303 306 318 391 414 459 477 606 621 782 901 909 918 954 1173 1219 1242 1431 1717 1802 1818 2323 2346 2438 2703 2727 2862 3434 3519 3657 4646 5151 5353 5406 5454 6969 7038 7314 8109 10302 10557 10706 10971 13938 15453 16059 16218 20723 20907 21114 21942 24327 30906 32118 32913 39491 41446 41814 46359 48177 48654 62169 62721 65826 78982 91001 92718 96354 118473 123119 124338 125442 144531 182002 186507 236946 246238 273003 289062 355419 369357 373014 546006 559521 710838 738714 819009 1066257 1108071 1119042 1638018 2093023 2132514 2216142 2457027 3324213 4186046 4914054 6279069 6648426 12558138 18837207 37674414 56511621 113023242