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201211022210020 = 22573199369149909
BaseRepresentation
bin101101110000000000010111…
…100000001111001111100100
3222101102120211002120110012121
4231300000113200033033210
5202333120133141210040
61551535022330155324
760245005463255614
oct5560002740171744
9871376732513177
10201211022210020
115912612a527a19
121a698064282b44
13883716c279544
143798945d60a44
15183de61754c4a
hexb7001780f3e4

201211022210020 has 48 divisors (see below), whose sum is σ = 428546333038320. Its totient is φ = 79342051239936.

The previous prime is 201211022209979. The next prime is 201211022210027. The reversal of 201211022210020 is 20012220112102.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5792262650944 + 195418759559076 = 2406712^2 + 13979226^2 .

It is a super-3 number, since 3×2012110222100203 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201211022209976 and 201211022210003.

It is not an unprimeable number, because it can be changed into a prime (201211022210027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31665175 + ... + 37484734.

It is an arithmetic number, because the mean of its divisors is an integer number (8928048604965).

Almost surely, 2201211022210020 is an apocalyptic number.

201211022210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201211022210020 is an abundant number, since it is smaller than the sum of its proper divisors (227335310828300).

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

201211022210020 is a wasteful number, since it uses less digits than its factorization.

201211022210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69151984 (or 69151982 counting only the distinct ones).

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

Adding to 201211022210020 its reverse (20012220112102), we get a palindrome (221223242322122).

The spelling of 201211022210020 in words is "two hundred one trillion, two hundred eleven billion, twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 1993 3986 7972 9965 19930 39860 145489 290978 581956 727445 1454890 2909780 69149909 138299818 276599636 345749545 691499090 1382998180 5047943357 10095886714 20191773428 25239716785 50479433570 100958867140 137815768637 275631537274 551263074548 689078843185 1378157686370 2756315372740 10060551110501 20121102221002 40242204442004 50302755552505 100605511105010 201211022210020