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201020202111220 = 22570141549345089
BaseRepresentation
bin101101101101001110101001…
…101111010101000011110100
3222100202100021111220001202221
4231231032221233111003310
5202322003333220024340
61551311223405212124
760225142001220142
oct5555165157250364
9870670244801687
10201020202111220
1159062209562428
121a66708ab61044
13882217ba7858b
14378d603124592
151838ee419644a
hexb6d3a9bd50f4

201020202111220 has 48 divisors (see below), whose sum is σ = 422756024418000. Its totient is φ = 80291210854400.

The previous prime is 201020202111133. The next prime is 201020202111257. The reversal of 201020202111220 is 22111202020102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17618133180816 + 183402068930404 = 4197396^2 + 13542602^2 .

It is a junction number, because it is equal to n+sod(n) for n = 201020202111194 and 201020202111203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582344436 + ... + 582689524.

It is an arithmetic number, because the mean of its divisors is an integer number (8807417175375).

Almost surely, 2201020202111220 is an apocalyptic number.

201020202111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020202111220 is an abundant number, since it is smaller than the sum of its proper divisors (221735822306780).

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

201020202111220 is a wasteful number, since it uses less digits than its factorization.

201020202111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387348 (or 387346 counting only the distinct ones).

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

Adding to 201020202111220 its reverse (22111202020102), we get a palindrome (223131404131322).

The spelling of 201020202111220 in words is "two hundred one trillion, twenty billion, two hundred two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 701 1402 2804 3505 7010 14020 41549 83098 166196 207745 345089 415490 690178 830980 1380356 1725445 3450890 6901780 29125849 58251698 116503396 145629245 241907389 291258490 483814778 582516980 967629556 1209536945 2419073890 4838147780 14338102861 28676205722 57352411444 71690514305 143381028610 286762057220 10051010105561 20102020211122 40204040422244 50255050527805 100510101055610 201020202111220