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2112323100 = 22352171921799
BaseRepresentation
bin111110111100111…
…0111111000011100
312110012201010112220
41331321313320130
513311223314400
6545334225340
7103226310246
oct17571677034
95405633486
102112323100
11994395678
124ab4b5250
13278813c34
14160777096
15c569d7a0
hex7de77e1c

2112323100 has 144 divisors (see below), whose sum is σ = 6812064000. Its totient is φ = 502225920.

The previous prime is 2112323089. The next prime is 2112323107. The reversal of 2112323100 is 13232112.

It is a super-2 number, since 2×21123231002 = 8923817757587220000, which contains 22 as substring.

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 2112323100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112323107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86001 + ... + 107799.

It is an arithmetic number, because the mean of its divisors is an integer number (47306000).

Almost surely, 22112323100 is an apocalyptic number.

2112323100 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 2112323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406032000).

2112323100 is an abundant number, since it is smaller than the sum of its proper divisors (4699740900).

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

2112323100 is a wasteful number, since it uses less digits than its factorization.

2112323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21852 (or 21845 counting only the distinct ones).

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

The square root of 2112323100 is about 45960.0163185350. The cubic root of 2112323100 is about 1283.0791550727.

Adding to 2112323100 its reverse (13232112), we get a palindrome (2125555212).

The spelling of 2112323100 in words is "two billion, one hundred twelve million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 25 30 34 38 50 51 57 60 68 75 76 85 95 100 102 114 150 170 190 204 228 255 285 300 323 340 380 425 475 510 570 646 850 950 969 1020 1140 1275 1292 1425 1615 1700 1900 1938 2550 2850 3230 3876 4845 5100 5700 6460 8075 9690 16150 19380 21799 24225 32300 43598 48450 65397 87196 96900 108995 130794 217990 261588 326985 370583 414181 435980 544975 653970 741166 828362 1089950 1111749 1242543 1307940 1482332 1634925 1656724 1852915 2070905 2179900 2223498 2485086 3269850 3705830 4141810 4446996 4970172 5558745 6212715 6539700 7041077 7411660 8283620 9264575 10354525 11117490 12425430 14082154 18529150 20709050 21123231 22234980 24850860 27793725 28164308 31063575 35205385 37058300 41418100 42246462 55587450 62127150 70410770 84492924 105616155 111174900 124254300 140821540 176026925 211232310 352053850 422464620 528080775 704107700 1056161550 2112323100