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201020020020 = 223251765692817
BaseRepresentation
bin1011101100110110111…
…0100001010100110100
3201012212102122001220200
42323031232201110310
511243142111120040
6232203004400500
720344314656211
oct2731556412464
9635772561820
10201020020020
1178285619356
1232b61246130
1315c57748911
149a2d760b08
155367cac630
hex2ecdba1534

201020020020 has 72 divisors (see below), whose sum is σ = 645629015304. Its totient is φ = 50452082688.

The previous prime is 201020019979. The next prime is 201020020027. The reversal of 201020020020 is 20020020102.

It can be written as a sum of positive squares in 4 ways, for example, as 6343166736 + 194676853284 = 79644^2 + 441222^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 201020019984 and 201020020011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020020027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32843349 + ... + 32849468.

It is an arithmetic number, because the mean of its divisors is an integer number (8967069657).

Almost surely, 2201020020020 is an apocalyptic number.

201020020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020020020 is an abundant number, since it is smaller than the sum of its proper divisors (444608995284).

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

201020020020 is a wasteful number, since it uses less digits than its factorization.

201020020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65692849 (or 65692844 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 201020020020 its reverse (20020020102), we get a palindrome (221040040122).

The spelling of 201020020020 in words is "two hundred one billion, twenty million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 65692817 131385634 197078451 262771268 328464085 394156902 591235353 656928170 788313804 985392255 1116777889 1182470706 1313856340 1970784510 2233555778 2364941412 2956176765 3350333667 3941569020 4467111556 5583889445 5912353530 6700667334 10051001001 11167778890 11824707060 13401334668 16751668335 20102002002 22335557780 33503336670 40204004004 50255005005 67006673340 100510010010 201020020020