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201012013032220 = 2251316314947317327
BaseRepresentation
bin101101101101000111000001…
…101000011110001100011100
3222100201120010210200202020201
4231231013001220132030130
5202321340100314012340
61551303351032553244
760224432033206225
oct5555070150361434
9870646123622221
10201012013032220
1159059796a91145
121a665584552824
138821475302cc0
14378d0676bc24c
151838bb529c79a
hexb6d1c1a1e31c

201012013032220 has 96 divisors (see below), whose sum is σ = 457417375607808. Its totient is φ = 73759316366592.

The previous prime is 201012013032197. The next prime is 201012013032293. The reversal of 201012013032220 is 22230310210102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633295197 + ... + 633612523.

It is an arithmetic number, because the mean of its divisors is an integer number (4764764329248).

Almost surely, 2201012013032220 is an apocalyptic number.

201012013032220 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 201012013032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228708687803904).

201012013032220 is an abundant number, since it is smaller than the sum of its proper divisors (256405362575588).

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

201012013032220 is a wasteful number, since it uses less digits than its factorization.

201012013032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332459 (or 332457 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 201012013032220 its reverse (22230310210102), we get a palindrome (223242323242322).

The spelling of 201012013032220 in words is "two hundred one trillion, twelve billion, thirteen million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 163 260 326 652 815 1630 2119 3260 4238 8476 10595 14947 21190 29894 42380 59788 74735 149470 194311 298940 317327 388622 634654 777244 971555 1269308 1586635 1943110 2436361 3173270 3886220 4125251 4872722 6346540 8250502 9745444 12181805 16501004 20626255 24363610 31672693 41252510 48727220 51724301 63345386 82505020 103448602 126690772 158363465 206897204 258621505 316726930 517243010 633453860 672415913 1034486020 1344831826 2689663652 3362079565 4743086669 6724159130 9486173338 13448318260 18972346676 23715433345 47430866690 61660126697 94861733380 123320253394 246640506788 308300633485 616601266970 773123127047 1233202533940 1546246254094 3092492508188 3865615635235 7731231270470 10050600651611 15462462540940 20101201303222 40202402606444 50253003258055 100506006516110 201012013032220