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2111023120 = 245193171631
BaseRepresentation
bin111110111010011…
…1010100000010000
312110010021002022111
41331310322200100
513310410214440
6545250315104
7103212254233
oct17564724020
95403232274
102111023120
11993687a08
124aab88a94
1327847a30b
1416051941a
15c54e34ea
hex7dd3a810

2111023120 has 160 divisors (see below), whose sum is σ = 5416796160. Its totient is φ = 762048000.

The previous prime is 2111023067. The next prime is 2111023121. The reversal of 2111023120 is 213201112.

It is a super-2 number, since 2×21110231202 = 8912837226349068800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2111023120.

It is not an unprimeable number, because it can be changed into a prime (2111023121) 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, 3345205 + ... + 3345835.

It is an arithmetic number, because the mean of its divisors is an integer number (33854976).

Almost surely, 22111023120 is an apocalyptic number.

2111023120 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 2111023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2708398080).

2111023120 is an abundant number, since it is smaller than the sum of its proper divisors (3305773040).

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

2111023120 is a wasteful number, since it uses less digits than its factorization.

2111023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2111023120 is about 45945.8716317364. The cubic root of 2111023120 is about 1282.8158873416.

Adding to 2111023120 its reverse (213201112), we get a palindrome (2324224232).

The spelling of 2111023120 in words is "two billion, one hundred eleven million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 31 38 40 62 71 76 80 95 124 142 152 155 190 248 284 304 310 355 380 496 568 589 620 631 710 760 1136 1178 1240 1262 1349 1420 1520 2201 2356 2480 2524 2698 2840 2945 3155 4402 4712 5048 5396 5680 5890 6310 6745 8804 9424 10096 10792 11005 11780 11989 12620 13490 17608 19561 21584 22010 23560 23978 25240 26980 35216 39122 41819 44020 44801 47120 47956 50480 53960 59945 78244 83638 88040 89602 95912 97805 107920 119890 156488 167276 176080 179204 191824 195610 209095 224005 239780 312976 334552 358408 371659 391220 418190 448010 479560 669104 716816 743318 782440 836380 851219 896020 959120 1388831 1486636 1564880 1672760 1702438 1792040 1858295 2777662 2973272 3345520 3404876 3584080 3716590 4256095 5555324 5946544 6809752 6944155 7433180 8512190 11110648 13619504 13888310 14866360 17024380 22221296 26387789 27776620 29732720 34048760 52775578 55553240 68097520 105551156 111106480 131938945 211102312 263877890 422204624 527755780 1055511560 2111023120