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111238330 = 257441113
BaseRepresentation
bin1101010000101…
…01110010111010
321202022111022011
412220111302322
5211434111310
615012120134
72520340000
oct650256272
9252274264
10111238330
1157878005
123130604a
131a079bc8
1410ab8a70
159b7478a
hex6a15cba

111238330 has 80 divisors (see below), whose sum is σ = 241401384. Its totient is φ = 36879360.

The previous prime is 111238321. The next prime is 111238363. The reversal of 111238330 is 33832111.

It can be written as a sum of positive squares in 4 ways, for example, as 25472209 + 85766121 = 5047^2 + 9261^2 .

It is a super-2 number, since 2×1112383302 = 24747932122377800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 984354 + ... + 984466.

Almost surely, 2111238330 is an apocalyptic number.

111238330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

111238330 is an abundant number, since it is smaller than the sum of its proper divisors (130163054).

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

111238330 is an equidigital number, since it uses as much as digits as its factorization.

111238330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 111238330 is about 10546.9583293004. The cubic root of 111238330 is about 480.9332681746.

The spelling of 111238330 in words is "one hundred eleven million, two hundred thirty-eight thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 41 49 70 82 98 113 205 226 245 287 343 410 490 565 574 686 791 1130 1435 1582 1715 2009 2401 2870 3430 3955 4018 4633 4802 5537 7910 9266 10045 11074 12005 14063 20090 23165 24010 27685 28126 32431 38759 46330 55370 64862 70315 77518 98441 140630 162155 193795 196882 227017 271313 324310 387590 454034 492205 542626 984410 1135085 1356565 1589119 2270170 2713130 3178238 7945595 11123833 15891190 22247666 55619165 111238330