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201020403220 = 225713199555029
BaseRepresentation
bin1011101100110110111…
…1111110111000010100
3201012212110100112120021
42323031233332320110
511243142210400340
6232203020514524
720344321143340
oct2731557767024
9635773315507
10201020403220
117828586024a
1232b613aba44
1315c57851170
149a2d820620
155367d35e4a
hex2ecdbfee14

201020403220 has 96 divisors (see below), whose sum is σ = 522172224000. Its totient is φ = 63299833344.

The previous prime is 201020403197. The next prime is 201020403229. The reversal of 201020403220 is 22304020102.

It is a junction number, because it is equal to n+sod(n) for n = 201020403194 and 201020403203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201020403229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84666 + ... + 639694.

It is an arithmetic number, because the mean of its divisors is an integer number (5439294000).

Almost surely, 2201020403220 is an apocalyptic number.

201020403220 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 201020403220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261086112000).

201020403220 is an abundant number, since it is smaller than the sum of its proper divisors (321151820780).

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

201020403220 is a wasteful number, since it uses less digits than its factorization.

201020403220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555257 (or 555255 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 201020403220 its reverse (22304020102), we get a palindrome (223324423322).

The spelling of 201020403220 in words is "two hundred one billion, twenty million, four hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 199 260 364 398 455 796 910 995 1393 1820 1990 2587 2786 3980 5174 5572 6965 10348 12935 13930 18109 25870 27860 36218 51740 72436 90545 181090 362180 555029 1110058 2220116 2775145 3885203 5550290 7215377 7770406 11100580 14430754 15540812 19426015 28861508 36076885 38852030 50507639 72153770 77704060 101015278 110450771 144307540 202030556 220901542 252538195 441803084 505076390 552253855 773155397 1010152780 1104507710 1435860023 1546310794 2209015420 2871720046 3092621588 3865776985 5743440092 7179300115 7731553970 10051020161 14358600230 15463107940 20102040322 28717200460 40204080644 50255100805 100510201610 201020403220