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2112310400 = 2752660097
BaseRepresentation
bin111110111100111…
…0100110010000000
312110012200111010112
41331321310302000
513311222413100
6545334050452
7103226225234
oct17571646200
95405614115
102112310400
11994387082
124ab4a9a28
1327880b215
141607725c4
15c5699b35
hex7de74c80

2112310400 has 48 divisors (see below), whose sum is σ = 5218074690. Its totient is φ = 844922880.

The previous prime is 2112310267. The next prime is 2112310411. The reversal of 2112310400 is 40132112.

It can be written as a sum of positive squares in 3 ways, for example, as 1915637824 + 196672576 = 43768^2 + 14024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 326849 + ... + 333248.

Almost surely, 22112310400 is an apocalyptic number.

2112310400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112310400 is an abundant number, since it is smaller than the sum of its proper divisors (3105764290).

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

2112310400 is an equidigital number, since it uses as much as digits as its factorization.

2112310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660121 (or 660104 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2112310400 is about 45959.8781547558. The cubic root of 2112310400 is about 1283.0765836325.

Adding to 2112310400 its reverse (40132112), we get a palindrome (2152442512).

The spelling of 2112310400 in words is "two billion, one hundred twelve million, three hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 660097 1320194 2640388 3300485 5280776 6600970 10561552 13201940 16502425 21123104 26403880 33004850 42246208 52807760 66009700 84492416 105615520 132019400 211231040 264038800 422462080 528077600 1056155200 2112310400