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113023134 = 23371915737
BaseRepresentation
bin1101011110010…
…01100010011110
321212200011121000
412233021202132
5212413220014
615114251130
72541452340
oct657114236
9255604530
10113023134
1158886a54
1231a26aa6
131a5533c3
1411021290
159dc8509
hex6bc989e

113023134 has 64 divisors (see below), whose sum is σ = 302169600. Its totient is φ = 30590784.

The previous prime is 113023133. The next prime is 113023159. The reversal of 113023134 is 431320311.

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 (113023133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687 + ... + 15050.

It is an arithmetic number, because the mean of its divisors is an integer number (4721400).

Almost surely, 2113023134 is an apocalyptic number.

113023134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113023134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151084800).

113023134 is an abundant number, since it is smaller than the sum of its proper divisors (189146466).

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

113023134 is a wasteful number, since it uses less digits than its factorization.

113023134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15774 (or 15768 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 113023134 is about 10631.2338888767. The cubic root of 113023134 is about 483.4918026021.

Adding to 113023134 its reverse (431320311), we get a palindrome (544343445).

The spelling of 113023134 in words is "one hundred thirteen million, twenty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 2394 3591 7182 15737 31474 47211 94422 110159 141633 220318 283266 299003 330477 424899 598006 660954 849798 897009 991431 1794018 1982862 2093021 2691027 2974293 4186042 5382054 5948586 6279063 8073081 12558126 16146162 18837189 37674378 56511567 113023134