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2010011100 = 2235210166337
BaseRepresentation
bin111011111001110…
…0101010111011100
312012002012010212120
41313303211113130
513104030323400
6531241302540
7100544545446
oct16763452734
95162163776
102010011100
119416650a9
12481194a50
13260570ca6
14150d43496
15bb6ddca0
hex77ce55dc

2010011100 has 72 divisors (see below), whose sum is σ = 5873301168. Its totient is φ = 530688000.

The previous prime is 2010011057. The next prime is 2010011111. The reversal of 2010011100 is 11100102.

2010011100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2869 + ... + 63468.

Almost surely, 22010011100 is an apocalyptic number.

2010011100 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 2010011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936650584).

2010011100 is an abundant number, since it is smaller than the sum of its proper divisors (3863290068).

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

2010011100 is a wasteful number, since it uses less digits than its factorization.

2010011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66455 (or 66448 counting only the distinct ones).

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

The square root of 2010011100 is about 44833.1473354258. The cubic root of 2010011100 is about 1262.0197513324.

Adding to 2010011100 its reverse (11100102), we get a palindrome (2021111202).

The spelling of 2010011100 in words is "two billion, ten million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 15150 30300 66337 132674 199011 265348 331685 398022 663370 796044 995055 1326740 1658425 1990110 3316850 3980220 4975275 6633700 6700037 9950550 13400074 19901100 20100111 26800148 33500185 40200222 67000370 80400444 100500555 134000740 167500925 201001110 335001850 402002220 502502775 670003700 1005005550 2010011100