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113115042 = 2351713691
BaseRepresentation
bin1101011110111…
…11111110100010
321212211211200000
412233133332202
5212424140132
615120240430
72542314315
oct657377642
9255754600
10113115042
115893a007
1231a70116
131a5861a1
141104697c
159de587c
hex6bdffa2

113115042 has 48 divisors (see below), whose sum is σ = 269129952. Its totient is φ = 35484480.

The previous prime is 113115029. The next prime is 113115043. The reversal of 113115042 is 240511311.

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 (113115043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1417 + ... + 15107.

It is an arithmetic number, because the mean of its divisors is an integer number (5606874).

Almost surely, 2113115042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113115042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134564976).

113115042 is an abundant number, since it is smaller than the sum of its proper divisors (156014910).

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

113115042 is a wasteful number, since it uses less digits than its factorization.

113115042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13725 (or 13713 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 113115042 is about 10635.5555567163. Note that the first 5 decimals coincide. The cubic root of 113115042 is about 483.6228221655.

Adding to 113115042 its reverse (240511311), we get a palindrome (353626353).

The spelling of 113115042 in words is "one hundred thirteen million, one hundred fifteen thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 243 306 459 486 918 1377 2754 4131 8262 13691 27382 41073 82146 123219 232747 246438 369657 465494 698241 739314 1108971 1396482 2094723 2217942 3326913 4189446 6284169 6653826 12568338 18852507 37705014 56557521 113115042