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111230000 = 245472227
BaseRepresentation
bin1101010000100…
…11110000110000
321202022001212122
412220103300300
5211433330000
615012013412
72520303500
oct650236060
9252261778
10111230000
1157871822
1231301268
131a07618b
1410ab5a00
159b72085
hex6a13c30

111230000 has 150 divisors (see below), whose sum is σ = 314646156. Its totient is φ = 37968000.

The previous prime is 111229981. The next prime is 111230003. The reversal of 111230000 is 32111.

It is a super-2 number, since 2×1112300002 = 24744225800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 111230000.

It is not an unprimeable number, because it can be changed into a prime (111230003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 489887 + ... + 490113.

Almost surely, 2111230000 is an apocalyptic number.

111230000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157323078).

111230000 is an abundant number, since it is smaller than the sum of its proper divisors (203416156).

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

111230000 is an equidigital number, since it uses as much as digits as its factorization.

111230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 111230000 is about 10546.5634213236. The cubic root of 111230000 is about 480.9212630977.

Adding to 111230000 its reverse (32111), we get a palindrome (111262111).

The spelling of 111230000 in words is "one hundred eleven million, two hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 49 50 56 70 80 98 100 112 125 140 175 196 200 227 245 250 280 350 392 400 454 490 500 560 625 700 784 875 908 980 1000 1135 1225 1250 1400 1589 1750 1816 1960 2000 2270 2450 2500 2800 3178 3500 3632 3920 4375 4540 4900 5000 5675 6125 6356 7000 7945 8750 9080 9800 10000 11123 11350 12250 12712 14000 15890 17500 18160 19600 22246 22700 24500 25424 28375 30625 31780 35000 39725 44492 45400 49000 55615 56750 61250 63560 70000 79450 88984 90800 98000 111230 113500 122500 127120 141875 158900 177968 198625 222460 227000 245000 278075 283750 317800 397250 444920 454000 490000 556150 567500 635600 794500 889840 993125 1112300 1135000 1390375 1589000 1986250 2224600 2270000 2780750 3178000 3972500 4449200 5561500 6951875 7945000 11123000 13903750 15890000 22246000 27807500 55615000 111230000