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201010000020 = 223579101419873
BaseRepresentation
bin1011101100110100100…
…0010011000010010100
3201012211201210000001120
42323031020103002110
511243132030000040
6232202005523540
720344133544324
oct2731510230224
9635751700046
10201010000020
117827a9a5165
1232b59a135b0
1315c5564ac1b
149a2c2b3284
155366e7d7d0
hex2ecd213094

201010000020 has 96 divisors (see below), whose sum is σ = 575596869120. Its totient is φ = 52400025600.

The previous prime is 201009999997. The next prime is 201010000039. The reversal of 201010000020 is 20000010102.

It is a happy number.

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 junction number, because it is equal to n+sod(n) for n = 201009999963 and 201010000008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268804 + ... + 688676.

It is an arithmetic number, because the mean of its divisors is an integer number (5995800720).

Almost surely, 2201010000020 is an apocalyptic number.

201010000020 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 201010000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287798434560).

201010000020 is an abundant number, since it is smaller than the sum of its proper divisors (374586869100).

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

201010000020 is a wasteful number, since it uses less digits than its factorization.

201010000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420065 (or 420063 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 201010000020 its reverse (20000010102), we get a palindrome (221010010122).

The spelling of 201010000020 in words is "two hundred one billion, ten million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 101 158 202 237 303 316 395 404 474 505 606 790 948 1010 1185 1212 1515 1580 2020 2370 3030 4740 6060 7979 15958 23937 31916 39895 47874 79790 95748 119685 159580 239370 419873 478740 839746 1259619 1679492 2099365 2519238 4198730 5038476 6298095 8397460 12596190 25192380 33169967 42407173 66339934 84814346 99509901 127221519 132679868 165849835 169628692 199019802 212035865 254443038 331699670 398039604 424071730 497549505 508886076 636107595 663399340 848143460 995099010 1272215190 1990198020 2544430380 3350166667 6700333334 10050500001 13400666668 16750833335 20101000002 33501666670 40202000004 50252500005 67003333340 100505000010 201010000020