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201130000100 = 225267172117443
BaseRepresentation
bin1011101101010001001…
…0000011111011100100
3201020011002120122012222
42323110102003323210
511243403240000400
6232221533531512
720350121535641
oct2732422037344
9636132518188
10201130000100
1178331706a87
1232b92043b98
1315c74474ba3
149a401ccdc8
155372784185
hex2ed4483ee4

201130000100 has 72 divisors (see below), whose sum is σ = 443249109408. Its totient is φ = 79200633600.

The previous prime is 201130000091. The next prime is 201130000117. The reversal of 201130000100 is 1000031102.

201130000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11521979 + ... + 11539421.

Almost surely, 2201130000100 is an apocalyptic number.

201130000100 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 201130000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221624554704).

201130000100 is an abundant number, since it is smaller than the sum of its proper divisors (242119109308).

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

201130000100 is a wasteful number, since it uses less digits than its factorization.

201130000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19245 (or 19238 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 201130000100 its reverse (1000031102), we get a palindrome (202130031202).

The spelling of 201130000100 in words is "two hundred one billion, one hundred thirty million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 670 1340 1675 1721 3350 3442 6700 6884 8605 17210 17443 34420 34886 43025 69772 86050 87215 115307 172100 174430 230614 348860 436075 461228 576535 872150 1153070 1168681 1744300 2306140 2337362 2882675 4674724 5765350 5843405 11530700 11686810 23373620 29217025 30019403 58434050 60038806 116868100 120077612 150097015 300194030 600388060 750485075 1500970150 2011300001 3001940300 4022600002 8045200004 10056500005 20113000010 40226000020 50282500025 100565000050 201130000100