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201012022011220 = 225712762017182297
BaseRepresentation
bin101101101101000111000010…
…001010101110010101010100
3222100201120011102120221010021
4231231013002022232111110
5202321340110113324340
61551303351553234524
760224432202424120
oct5555070212562524
9870646142527107
10201012022011220
11590597a1064202
121a665587562a44
138821477127c14
14378d068978580
151838bb5e72e4a
hexb6d1c22ae554

201012022011220 has 96 divisors (see below), whose sum is σ = 486238012710912. Its totient is φ = 68374265315328.

The previous prime is 201012022011211. The next prime is 201012022011239. The reversal of 201012022011220 is 22110220210102.

It is a happy number.

201012022011220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201012022011194 and 201012022011203.

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, 1102571112 + ... + 1102753408.

It is an arithmetic number, because the mean of its divisors is an integer number (5064979299072).

Almost surely, 2201012022011220 is an apocalyptic number.

201012022011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012022011220 is an abundant number, since it is smaller than the sum of its proper divisors (285225990699692).

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

201012022011220 is a wasteful number, since it uses less digits than its factorization.

201012022011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244457 (or 244455 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201012022011220 its reverse (22110220210102), we get a palindrome (223122242221322).

The spelling of 201012022011220 in words is "two hundred one trillion, twelve billion, twenty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 127 140 254 508 635 889 1270 1778 2540 3556 4445 8890 17780 62017 124034 182297 248068 310085 364594 434119 620170 729188 868238 911485 1240340 1276079 1736476 1822970 2170595 2552158 3645940 4341190 5104316 6380395 7876159 8682380 12760790 15752318 23151719 25521580 31504636 39380795 46303438 55133113 78761590 92606876 110266226 115758595 157523180 162062033 220532452 231517190 275665565 324124066 463034380 551331130 648248132 810310165 1102662260 1620620330 3241240660 11305513049 22611026098 45222052196 56527565245 79138591343 113055130490 158277182686 226110260980 316554365372 395692956715 791385913430 1435800157223 1582771826860 2871600314446 5743200628892 7179000786115 10050601100561 14358001572230 20101202201122 28716003144460 40202404402244 50253005502805 100506011005610 201012022011220