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2121441200 = 245219279137
BaseRepresentation
bin111111001110010…
…1001111110110000
312110211212101020022
41332130221332300
513321042104300
6550301503012
7103366644524
oct17634517660
95424771208
102121441200
1199955319a
124b2571a68
1327a687268
14161a6bd84
15c63a0285
hex7e729fb0

2121441200 has 60 divisors (see below), whose sum is σ = 5365032360. Its totient is φ = 803911680.

The previous prime is 2121441199. The next prime is 2121441211. The reversal of 2121441200 is 21441212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131969 + ... + 147168.

It is an arithmetic number, because the mean of its divisors is an integer number (89417206).

Almost surely, 22121441200 is an apocalyptic number.

2121441200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121441200 is an abundant number, since it is smaller than the sum of its proper divisors (3243591160).

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

2121441200 is a wasteful number, since it uses less digits than its factorization.

2121441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279174 (or 279163 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2121441200 is about 46059.1055058606. The cubic root of 2121441200 is about 1284.9226941538.

Adding to 2121441200 its reverse (21441212), we get a palindrome (2142882412).

The spelling of 2121441200 in words is "two billion, one hundred twenty-one million, four hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 279137 558274 1116548 1395685 2233096 2791370 4466192 5303603 5582740 6978425 10607206 11165480 13956850 21214412 22330960 26518015 27913700 42428824 53036030 55827400 84857648 106072060 111654800 132590075 212144120 265180150 424288240 530360300 1060720600 2121441200