Search a number
-
+
20212583104180 = 2256180077206897
BaseRepresentation
bin1001001100010000110111…
…10101011111111010110100
32122120022012200002010001201
410212020123311133322310
510122130332233313210
6110553311003502244
74154211436421545
oct446103365377264
978508180063051
1020212583104180
116493121248695
122325401227984
13b380664c8a8c
144dc4195864cc
15250b97d5c53a
hex12621bd5feb4

20212583104180 has 48 divisors (see below), whose sum is σ = 43143014826576. Its totient is φ = 7952353966080.

The previous prime is 20212583104123. The next prime is 20212583104193. The reversal of 20212583104180 is 8140138521202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4304147726736 + 15908435377444 = 2074644^2 + 3988538^2 .

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, 97590492 + ... + 97797388.

It is an arithmetic number, because the mean of its divisors is an integer number (898812808887).

Almost surely, 220212583104180 is an apocalyptic number.

20212583104180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20212583104180 is an abundant number, since it is smaller than the sum of its proper divisors (22930431722396).

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

20212583104180 is a wasteful number, since it uses less digits than its factorization.

20212583104180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287044 (or 287042 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 20212583104180 in words is "twenty trillion, two hundred twelve billion, five hundred eighty-three million, one hundred four thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 80077 160154 206897 320308 400385 413794 800770 827588 1034485 1601540 2068970 4137940 4884697 9769394 12620717 19538788 24423485 25241434 48846970 50482868 63103585 97693940 126207170 252414340 16567691069 33135382138 66270764276 82838455345 165676910690 331353821380 1010629155209 2021258310418 4042516620836 5053145776045 10106291552090 20212583104180