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2100111000 = 233531353849
BaseRepresentation
bin111110100101101…
…0010011010011000
312102100201200200220
41331023102122120
513300112023000
6544220400040
7103020435411
oct17513223230
95370650626
102100111000
11988504529
124a73a6020
13276129540
1415ccb8808
15c458a1a0
hex7d2d2698

2100111000 has 128 divisors (see below), whose sum is σ = 7056504000. Its totient is φ = 516940800.

The previous prime is 2100110993. The next prime is 2100111007. The reversal of 2100111000 is 1110012.

It is an interprime number because it is at equal distance from previous prime (2100110993) and next prime (2100111007).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2100111000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100111007) 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, 12076 + ... + 65924.

Almost surely, 22100111000 is an apocalyptic number.

2100111000 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 2100111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528252000).

2100111000 is an abundant number, since it is smaller than the sum of its proper divisors (4956393000).

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

2100111000 is a wasteful number, since it uses less digits than its factorization.

2100111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53886 (or 53872 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 2100111000 is about 45826.9680428457. The cubic root of 2100111000 is about 1280.6017271753.

Adding to 2100111000 its reverse (1110012), we get a palindrome (2101221012).

The spelling of 2100111000 in words is "two billion, one hundred million, one hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 53849 107698 161547 215396 269245 323094 430792 538490 646188 700037 807735 1076980 1292376 1346225 1400074 1615470 2100111 2153960 2692450 2800148 3230940 3500185 4038675 4200222 5384900 5600296 6461880 6731125 7000370 8077350 8400444 10500555 10769800 13462250 14000740 16154700 16800888 17500925 20193375 21001110 26924500 28001480 32309400 35001850 40386750 42002220 52502775 53849000 70003700 80773500 84004440 87504625 105005550 140007400 161547000 175009250 210011100 262513875 350018500 420022200 525027750 700037000 1050055500 2100111000