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2100211000 = 23533895399
BaseRepresentation
bin111110100101110…
…1010110100111000
312102100220202212121
41331023222310320
513300123223000
6544222451024
7103021333066
oct17513526470
95370822777
102100211000
11988572678
124a7433a74
13276162c04
1415cd03036
15c45a9b1a
hex7d2ead38

2100211000 has 64 divisors (see below), whose sum is σ = 4928040000. Its totient is φ = 837769600.

The previous prime is 2100210997. The next prime is 2100211007. The reversal of 2100211000 is 1120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100211007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386301 + ... + 391699.

It is an arithmetic number, because the mean of its divisors is an integer number (77000625).

Almost surely, 22100211000 is an apocalyptic number.

2100211000 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 2100211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464020000).

2100211000 is an abundant number, since it is smaller than the sum of its proper divisors (2827829000).

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

2100211000 is a wasteful number, since it uses less digits than its factorization.

2100211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5809 (or 5795 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 2100211000 is about 45828.0590904743. The cubic root of 2100211000 is about 1280.6220527898.

Adding to 2100211000 its reverse (1120012), we get a palindrome (2101331012).

The spelling of 2100211000 in words is "two billion, one hundred million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 389 500 778 1000 1556 1945 3112 3890 5399 7780 9725 10798 15560 19450 21596 26995 38900 43192 48625 53990 77800 97250 107980 134975 194500 215960 269950 389000 539900 674875 1079800 1349750 2100211 2699500 4200422 5399000 8400844 10501055 16801688 21002110 42004220 52505275 84008440 105010550 210021100 262526375 420042200 525052750 1050105500 2100211000