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2123333320 = 23517231271069
BaseRepresentation
bin111111010001111…
…0111111011001000
312110222102111201211
41332203313323020
513322033131240
6550410222504
7103422015103
oct17643677310
95428374654
102123333320
1199a625829
124b3124a34
1327ab9a564
1416200173a
15c6625bea
hex7e8f7ec8

2123333320 has 128 divisors (see below), whose sum is σ = 5325004800. Its totient is φ = 757886976.

The previous prime is 2123333293. The next prime is 2123333321. The reversal of 2123333320 is 233333212.

It is a junction number, because it is equal to n+sod(n) for n = 2123333291 and 2123333300.

It is not an unprimeable number, because it can be changed into a prime (2123333321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1985746 + ... + 1986814.

It is an arithmetic number, because the mean of its divisors is an integer number (41601600).

Almost surely, 22123333320 is an apocalyptic number.

2123333320 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 2123333320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662502400).

2123333320 is an abundant number, since it is smaller than the sum of its proper divisors (3201671480).

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

2123333320 is a wasteful number, since it uses less digits than its factorization.

2123333320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

The square root of 2123333320 is about 46079.6410576298. The cubic root of 2123333320 is about 1285.3045894866.

Adding to 2123333320 its reverse (233333212), we get a palindrome (2356666532).

The spelling of 2123333320 in words is "two billion, one hundred twenty-three million, three hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 127 136 170 184 230 254 340 391 460 508 635 680 782 920 1016 1069 1270 1564 1955 2138 2159 2540 2921 3128 3910 4276 4318 5080 5345 5842 7820 8552 8636 10690 10795 11684 14605 15640 17272 18173 21380 21590 23368 24587 29210 36346 42760 43180 49174 49657 58420 72692 86360 90865 98348 99314 116840 122935 135763 145384 181730 196696 198628 245870 248285 271526 363460 397256 417979 491740 496570 543052 678815 726920 835958 983480 993140 1086104 1357630 1671916 1986280 2089895 2307971 2715260 3122549 3343832 4179790 4615942 5430520 6245098 8359580 9231884 11539855 12490196 15612745 16719160 18463768 23079710 24980392 31225490 46159420 53083333 62450980 92318840 106166666 124901960 212333332 265416665 424666664 530833330 1061666660 2123333320