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201211221011220 = 22335753230481749
BaseRepresentation
bin101101110000000000100011…
…010110100110101100010100
3222101102121022221122121012000
4231300000203112212230110
5202333121040034324340
61551535054151155300
760245013426121140
oct5560004326465424
9871377287577160
10201211221011220
1159126221771232
121a6980ba975b30
1388371a1503ca4
143798964510220
15183de73e23d30
hexb700235a6b14

201211221011220 has 96 divisors (see below), whose sum is σ = 715417674720000. Its totient is φ = 45991136230272.

The previous prime is 201211221011197. The next prime is 201211221011257. The reversal of 201211221011220 is 22110122112102.

201211221011220 is a `hidden beast` number, since 2 + 0 + 1 + 211 + 221 + 0 + 11 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201211221011193 and 201211221011202.

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, 26615237095 + ... + 26615244654.

It is an arithmetic number, because the mean of its divisors is an integer number (7452267445000).

Almost surely, 2201211221011220 is an apocalyptic number.

201211221011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211221011220 is an abundant number, since it is smaller than the sum of its proper divisors (514206453708780).

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

201211221011220 is a wasteful number, since it uses less digits than its factorization.

201211221011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53230481774 (or 53230481766 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 201211221011220 its reverse (22110122112102), we get a palindrome (223321343123322).

The spelling of 201211221011220 in words is "two hundred one trillion, two hundred eleven billion, two hundred twenty-one million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 53230481749 106460963498 159691445247 212921926996 266152408745 319382890494 372613372243 479074335741 532304817490 638765780988 745226744486 798457226235 958148671482 1064609634980 1117840116729 1437223007223 1490453488972 1596914452470 1863066861215 1916297342964 2235680233458 2395371678705 2874446014446 3193828904940 3353520350187 3726133722430 4471360466916 4790743357410 5589200583645 5748892028892 6707040700374 7186115036115 7452267444860 9581486714820 10060561050561 11178401167290 13414081400748 14372230072230 16767601750935 20121122101122 22356802334580 28744460144460 33535203501870 40242244202244 50302805252805 67070407003740 100605610505610 201211221011220