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111323601 = 3235172
BaseRepresentation
bin1101010001010…
…10100111010001
321202110211021100
412220222213101
5211444323401
615014015013
72521143414
oct650524721
9252424240
10111323601
1157926084
1231347469
131a0a996c
1410adbb7b
159b8eb86
hex6a2a9d1

111323601 has 9 divisors (see below), whose sum is σ = 160846491. Its totient is φ = 74194632.

The previous prime is 111323581. The next prime is 111323617. The reversal of 111323601 is 106323111.

Adding to 111323601 its reverse (106323111), we get a palindrome (217646712).

The square root of 111323601 is 10551.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 106812225 + 4511376 = 10335^2 + 2124^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2k-111323601 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (111325601) 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 8 ways as a sum of consecutive naturals, for example, 29895 + ... + 33411.

Almost surely, 2111323601 is an apocalyptic number.

111323601 is the 10551-st square number.

111323601 is the 5276-th centered octagonal number.

It is an amenable number.

111323601 is a deficient number, since it is larger than the sum of its proper divisors (49522890).

111323601 is an frugal number, since it uses more digits than its factorization.

111323601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7040 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The cubic root of 111323601 is about 481.0561250662.

The spelling of 111323601 in words is "one hundred eleven million, three hundred twenty-three thousand, six hundred one".

Divisors: 1 3 9 3517 10551 31653 12369289 37107867 111323601