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2311112300 = 2252797101337
BaseRepresentation
bin1000100111000000…
…1100011001101100
312222001202200001212
42021300030121230
514213121043200
61021155053552
7111162062510
oct21160143154
95861680055
102311112300
11a86620972
12545ba12b8
132aaa66093
1417cd22140
15d7d69035
hex89c0c66c

2311112300 has 144 divisors (see below), whose sum is σ = 5865332928. Its totient is φ = 774144000.

The previous prime is 2311112299. The next prime is 2311112303. The reversal of 2311112300 is 32111132.

It is a super-2 number, since 2×23111123002 = 10682480126422580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (2311112303) 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 47 ways as a sum of consecutive naturals, for example, 6857732 + ... + 6858068.

Almost surely, 22311112300 is an apocalyptic number.

2311112300 is a gapful number since it is divisible by the number (20) 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 2311112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932666464).

2311112300 is an abundant number, since it is smaller than the sum of its proper divisors (3554220628).

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

2311112300 is a wasteful number, since it uses less digits than its factorization.

2311112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 2311112300 is about 48074.0293713768. The cubic root of 2311112300 is about 1322.1285484983.

Adding to 2311112300 its reverse (32111132), we get a palindrome (2343223432).

The spelling of 2311112300 in words is "two billion, three hundred eleven million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 97 100 101 140 175 194 202 337 350 388 404 485 505 674 679 700 707 970 1010 1348 1358 1414 1685 1940 2020 2359 2425 2525 2716 2828 3370 3395 3535 4718 4850 5050 6740 6790 7070 8425 9436 9700 9797 10100 11795 13580 14140 16850 16975 17675 19594 23590 32689 33700 33950 34037 35350 39188 47180 48985 58975 65378 67900 68074 68579 70700 97970 117950 130756 136148 137158 163445 170185 195940 228823 235900 238259 244925 274316 326890 340370 342895 457646 476518 489850 653780 680740 685790 817225 850925 915292 953036 979700 1144115 1191295 1371580 1634450 1701850 1714475 2288230 2382590 3268900 3301589 3403700 3428950 4576460 4765180 5720575 5956475 6603178 6857900 11441150 11912950 13206356 16507945 22882300 23111123 23825900 33015890 46222246 66031780 82539725 92444492 115555615 165079450 231111230 330158900 462222460 577778075 1155556150 2311112300