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111492693 = 3413113937
BaseRepresentation
bin1101010010100…
…11111001010101
321202210102020000
412221103321111
5212020231233
615021401513
72522446404
oct651237125
9252712200
10111492693
1157a31124
1231409299
131a138910
1410b4363b
159bc4d13
hex6a53e55

111492693 has 40 divisors (see below), whose sum is σ = 181142808. Its totient is φ = 67931136.

The previous prime is 111492691. The next prime is 111492701. The reversal of 111492693 is 396294111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17363889 + 94128804 = 4167^2 + 9702^2 .

It is not a de Polignac number, because 111492693 - 21 = 111492691 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111492691) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 118521 + ... + 119457.

Almost surely, 2111492693 is an apocalyptic number.

111492693 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

111492693 is a deficient number, since it is larger than the sum of its proper divisors (69650115).

111492693 is a wasteful number, since it uses less digits than its factorization.

111492693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1066 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 111492693 is about 10559.0100388247. The cubic root of 111492693 is about 481.2995642885.

It can be divided in two parts, 111 and 492693, that added together give a square (492804 = 7022).

The spelling of 111492693 in words is "one hundred eleven million, four hundred ninety-two thousand, six hundred ninety-three".

Divisors: 1 3 9 13 27 39 81 113 117 339 351 937 1017 1053 1469 2811 3051 4407 8433 9153 12181 13221 25299 36543 39663 75897 105881 109629 118989 317643 328887 952929 986661 1376453 2858787 4129359 8576361 12388077 37164231 111492693