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2124113200 = 245211482753
BaseRepresentation
bin111111010011011…
…0110010100110000
312111000220010112021
41332212312110300
513322233110300
6550435041224
7103431443566
oct17646662460
95430803467
102124113200
119a0008760
124b3440214
1327b0b1521
14162165a36
15c672bd1a
hex7e9b6530

2124113200 has 60 divisors (see below), whose sum is σ = 5567119128. Its totient is φ = 772403200.

The previous prime is 2124113197. The next prime is 2124113209. The reversal of 2124113200 is 23114212.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2124113209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 236977 + ... + 245776.

Almost surely, 22124113200 is an apocalyptic number.

2124113200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2124113200 is an abundant number, since it is smaller than the sum of its proper divisors (3443005928).

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

2124113200 is a wasteful number, since it uses less digits than its factorization.

2124113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482782 (or 482771 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2124113200 is about 46088.1025862424. The cubic root of 2124113200 is about 1285.4619302484.

Adding to 2124113200 its reverse (23114212), we get a palindrome (2147227412).

The spelling of 2124113200 in words is "two billion, one hundred twenty-four million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 482753 965506 1931012 2413765 3862024 4827530 5310283 7724048 9655060 10620566 12068825 19310120 21241132 24137650 26551415 38620240 42482264 48275300 53102830 84964528 96550600 106205660 132757075 193101200 212411320 265514150 424822640 531028300 1062056600 2124113200