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111434269 = 17293741149
BaseRepresentation
bin1101010010001…
…01101000011101
321202200110002011
412221011220131
5212011344034
615020231221
72522114152
oct651055035
9252613064
10111434269
11579a1241
123139b511
131a11814b
1410b2a229
159bb2864
hex6a45a1d

111434269 has 32 divisors (see below), whose sum is σ = 129276000. Its totient is φ = 95477760.

The previous prime is 111434263. The next prime is 111434273. The reversal of 111434269 is 962434111.

It can be written as a sum of positive squares in 16 ways, for example, as 26112100 + 85322169 = 5110^2 + 9237^2 .

It is not a de Polignac number, because 111434269 - 23 = 111434261 is a prime.

It is a super-2 number, since 2×1114342692 = 24835192615128722, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 111434269.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111434261) 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 31 ways as a sum of consecutive naturals, for example, 747807 + ... + 747955.

It is an arithmetic number, because the mean of its divisors is an integer number (4039875).

Almost surely, 2111434269 is an apocalyptic number.

It is an amenable number.

111434269 is a deficient number, since it is larger than the sum of its proper divisors (17841731).

111434269 is a wasteful number, since it uses less digits than its factorization.

111434269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273.

The product of its digits is 5184, while the sum is 31.

The square root of 111434269 is about 10556.2431290682. The cubic root of 111434269 is about 481.2154799774.

The spelling of 111434269 in words is "one hundred eleven million, four hundred thirty-four thousand, two hundred sixty-nine".

Divisors: 1 17 29 37 41 149 493 629 697 1073 1189 1517 2533 4321 5513 6109 18241 20213 25789 43993 73457 93721 103853 159877 177161 226033 747881 2717909 3011737 3842561 6554957 111434269