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2110221312 = 21036111261
BaseRepresentation
bin111110111000111…
…0110110000000000
312110001202100102220
41331301312300000
513310204040222
6545221211040
7103202404503
oct17561666000
95401670386
102110221312
1199318a561
124aa860a80
13278259384
1416038b13a
15c53d5b5c
hex7dc76c00

2110221312 has 88 divisors (see below), whose sum is σ = 5717221872. Its totient is φ = 691814400.

The previous prime is 2110221241. The next prime is 2110221329. The reversal of 2110221312 is 2131220112.

It is a junction number, because it is equal to n+sod(n) for n = 2110221291 and 2110221300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181762 + ... + 193022.

Almost surely, 22110221312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858610936).

2110221312 is an abundant number, since it is smaller than the sum of its proper divisors (3607000560).

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

2110221312 is a wasteful number, since it uses less digits than its factorization.

2110221312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11345 (or 11327 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2110221312 is about 45937.1452312831. The cubic root of 2110221312 is about 1282.6534538936.

Adding to 2110221312 its reverse (2131220112), we get a palindrome (4241441424).

The spelling of 2110221312 in words is "two billion, one hundred ten million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 976 1024 1464 1536 1952 2928 3072 3904 5856 7808 11261 11712 15616 22522 23424 31232 33783 45044 46848 62464 67566 90088 93696 135132 180176 187392 270264 360352 540528 686921 720704 1081056 1373842 1441408 2060763 2162112 2747684 2882816 4121526 4324224 5495368 5765632 8243052 8648448 10990736 11531264 16486104 17296896 21981472 32972208 34593792 43962944 65944416 87925888 131888832 175851776 263777664 351703552 527555328 703407104 1055110656 2110221312