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111435345 = 3457231709
BaseRepresentation
bin1101010010001…
…01111001010001
321202200111120000
412221011321101
5212011412340
615020240213
72522120250
oct651057121
9252614500
10111435345
11579a202a
12313a0069
131a118798
1410b2a797
159bb2d30
hex6a45e51

111435345 has 80 divisors (see below), whose sum is σ = 238360320. Its totient is φ = 48698496.

The previous prime is 111435341. The next prime is 111435347. The reversal of 111435345 is 543534111.

It is a happy number.

It is not a de Polignac number, because 111435345 - 22 = 111435341 is a prime.

It is a super-2 number, since 2×1114353452 = 24835672230538050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (111435341) 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 79 ways as a sum of consecutive naturals, for example, 64351 + ... + 66059.

It is an arithmetic number, because the mean of its divisors is an integer number (2979504).

Almost surely, 2111435345 is an apocalyptic number.

111435345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

111435345 is an abundant number, since it is smaller than the sum of its proper divisors (126924975).

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

111435345 is a wasteful number, since it uses less digits than its factorization.

111435345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756 (or 1747 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 111435345 is about 10556.2940940465. The cubic root of 111435345 is about 481.2170288313.

Adding to 111435345 its reverse (543534111), we get a palindrome (654969456).

The spelling of 111435345 in words is "one hundred eleven million, four hundred thirty-five thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 23 27 35 45 63 69 81 105 115 135 161 189 207 315 345 405 483 567 621 805 945 1035 1449 1709 1863 2415 2835 3105 4347 5127 7245 8545 9315 11963 13041 15381 21735 25635 35889 39307 46143 59815 65205 76905 107667 117921 138429 179445 196535 230715 275149 323001 353763 538335 589605 692145 825447 969003 1061289 1375745 1615005 1768815 2476341 3183867 4127235 4845015 5306445 7429023 12381705 15919335 22287069 37145115 111435345