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2112024000 = 2635388001
BaseRepresentation
bin111110111100010…
…1110110111000000
312110012010221021010
41331320232313000
513311134232000
6545324000520
7103223623242
oct17570566700
95405127233
102112024000
11994200989
124ab390140
1327873aa58
141606da092
15c563ed50
hex7de2edc0

2112024000 has 112 divisors (see below), whose sum is σ = 6973982496. Its totient is φ = 563200000.

The previous prime is 2112023993. The next prime is 2112024001. The reversal of 2112024000 is 4202112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112024001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20001 + ... + 68000.

Almost surely, 22112024000 is an apocalyptic number.

2112024000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112024000 is an abundant number, since it is smaller than the sum of its proper divisors (4861958496).

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

2112024000 is an equidigital number, since it uses as much as digits as its factorization.

2112024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88031 (or 88011 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2112024000 is about 45956.7622880464. The cubic root of 2112024000 is about 1283.0185918804.

Adding to 2112024000 its reverse (4202112), we get a palindrome (2116226112).

The spelling of 2112024000 in words is "two billion, one hundred twelve million, twenty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 88001 176002 264003 352004 440005 528006 704008 880010 1056012 1320015 1408016 1760020 2112024 2200025 2640030 2816032 3520040 4224048 4400050 5280060 5632064 6600075 7040080 8448096 8800100 10560120 11000125 13200150 14080160 16896192 17600200 21120240 22000250 26400300 28160320 33000375 35200400 42240480 44000500 52800600 66000750 70400800 84480960 88001000 105601200 132001500 140801600 176002000 211202400 264003000 352004000 422404800 528006000 704008000 1056012000 2112024000