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2111320320 = 28354871129
BaseRepresentation
bin111110111011000…
…0011000100000000
312110010211011222220
41331312003010000
513310444222240
6545300531040
7103214632554
oct17566030400
95403734886
102111320320
1199387022a
124ab0b0a80
13278552685
14160595864
15c55515d0
hex7dd83100

2111320320 has 144 divisors (see below), whose sum is σ = 6762860160. Its totient is φ = 561364992.

The previous prime is 2111320313. The next prime is 2111320331. The reversal of 2111320320 is 230231112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2111320320.

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 15 ways as a sum of consecutive naturals, for example, 1869516 + ... + 1870644.

Almost surely, 22111320320 is an apocalyptic number.

2111320320 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 2111320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3381430080).

2111320320 is an abundant number, since it is smaller than the sum of its proper divisors (4651539840).

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

2111320320 is a wasteful number, since it uses less digits than its factorization.

2111320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2111320320 is about 45949.1057584367. The cubic root of 2111320320 is about 1282.8760848493.

Adding to 2111320320 its reverse (230231112), we get a palindrome (2341551432).

The spelling of 2111320320 in words is "two billion, one hundred eleven million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 487 640 768 960 974 1129 1280 1461 1920 1948 2258 2435 2922 3387 3840 3896 4516 4870 5645 5844 6774 7305 7792 9032 9740 11290 11688 13548 14610 15584 16935 18064 19480 22580 23376 27096 29220 31168 33870 36128 38960 45160 46752 54192 58440 62336 67740 72256 77920 90320 93504 108384 116880 124672 135480 144512 155840 180640 187008 216768 233760 270960 289024 311680 361280 374016 433536 467520 541920 549823 623360 722560 867072 935040 1083840 1099646 1445120 1649469 1870080 2167680 2199292 2749115 3298938 4335360 4398584 5498230 6597876 8247345 8797168 10996460 13195752 16494690 17594336 21992920 26391504 32989380 35188672 43985840 52783008 65978760 70377344 87971680 105566016 131957520 140754688 175943360 211132032 263915040 351886720 422264064 527830080 703773440 1055660160 2111320320