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2121352320 = 273529311229
BaseRepresentation
bin111111001110001…
…0100010010000000
312110211200212022110
41332130110102000
513321031233240
6550255535320
7103366124433
oct17634242200
95424625273
102121352320
119994a243a
124b252a540
1327a655979
14161a4781a
15c6383c80
hex7e714480

2121352320 has 256 divisors, whose sum is σ = 7226496000. Its totient is φ = 528138240.

The previous prime is 2121352313. The next prime is 2121352381. The reversal of 2121352320 is 232531212.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1725466 + ... + 1726694.

It is an arithmetic number, because the mean of its divisors is an integer number (28228500).

Almost surely, 22121352320 is an apocalyptic number.

2121352320 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 2121352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3613248000).

2121352320 is an abundant number, since it is smaller than the sum of its proper divisors (5105143680).

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

2121352320 is a wasteful number, since it uses less digits than its factorization.

2121352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2121352320 is about 46058.1406485325. The cubic root of 2121352320 is about 1284.9047495094.

Adding to 2121352320 its reverse (232531212), we get a palindrome (2353883532).

The spelling of 2121352320 in words is "two billion, one hundred twenty-one million, three hundred fifty-two thousand, three hundred twenty".