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2112154320 = 2435107233353
BaseRepresentation
bin111110111100100…
…1110101011010000
312110012101120000210
41331321032223100
513311202414240
6545330444120
7103225005213
oct17571165320
95405346023
102112154320
1199428a891
124ab433640
13278785173
1416073177a
15c5668780
hex7de4ead0

2112154320 has 160 divisors (see below), whose sum is σ = 6656038272. Its totient is φ = 554008576.

The previous prime is 2112154313. The next prime is 2112154337. The reversal of 2112154320 is 234512112.

It is a super-2 number, since 2×21121543202 = 8922391742989324800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5983264 + ... + 5983616.

Almost surely, 22112154320 is an apocalyptic number.

2112154320 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 2112154320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328019136).

2112154320 is an abundant number, since it is smaller than the sum of its proper divisors (4543883952).

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

2112154320 is a wasteful number, since it uses less digits than its factorization.

2112154320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2112154320 is about 45958.1801206271. The cubic root of 2112154320 is about 1283.0449803975.

Adding to 2112154320 its reverse (234512112), we get a palindrome (2346666432).

The spelling of 2112154320 in words is "two billion, one hundred twelve million, one hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 233 240 321 353 428 466 535 642 699 706 856 932 1059 1070 1165 1284 1398 1412 1605 1712 1765 1864 2118 2140 2330 2568 2796 2824 3210 3495 3530 3728 4236 4280 4660 5136 5295 5592 5648 6420 6990 7060 8472 8560 9320 10590 11184 12840 13980 14120 16944 18640 21180 24931 25680 27960 28240 37771 42360 49862 55920 74793 75542 82249 84720 99724 113313 124655 149586 151084 164498 188855 199448 226626 246747 249310 299172 302168 328996 373965 377710 398896 411245 453252 493494 498620 566565 598344 604336 657992 747930 755420 822490 906504 986988 997240 1133130 1196688 1233735 1315984 1495860 1510840 1644980 1813008 1973976 1994480 2266260 2467470 2991720 3021680 3289960 3947952 4532520 4934940 5983440 6579920 8800643 9065040 9869880 17601286 19739760 26401929 35202572 44003215 52803858 70405144 88006430 105607716 132009645 140810288 176012860 211215432 264019290 352025720 422430864 528038580 704051440 1056077160 2112154320