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211421320420 = 22517621827413
BaseRepresentation
bin1100010011100110110…
…0010101010011100100
3202012201022111212200211
43010321230111103210
511430442324223140
6241043044345204
721163134400162
oct3047154252344
9665638455624
10211421320420
1181732907292
1234b846a5204
1316c2461153b
14a338d06232
155775ed92ea
hex3139b154e4

211421320420 has 24 divisors (see below), whose sum is σ = 470101524984. Its totient is φ = 79593908736.

The previous prime is 211421320391. The next prime is 211421320421. The reversal of 211421320420 is 24023124112.

It can be written as a sum of positive squares in 4 ways, for example, as 106854456996 + 104566863424 = 326886^2 + 323368^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211421320391 and 211421320400.

It is not an unprimeable number, because it can be changed into a prime (211421320421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 310913367 + ... + 310914046.

It is an arithmetic number, because the mean of its divisors is an integer number (19587563541).

Almost surely, 2211421320420 is an apocalyptic number.

211421320420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211421320420 is an abundant number, since it is smaller than the sum of its proper divisors (258680204564).

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

211421320420 is a wasteful number, since it uses less digits than its factorization.

211421320420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621827439 (or 621827437 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 211421320420 its reverse (24023124112), we get a palindrome (235444444532).

The spelling of 211421320420 in words is "two hundred eleven billion, four hundred twenty-one million, three hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 621827413 1243654826 2487309652 3109137065 6218274130 10571066021 12436548260 21142132042 42284264084 52855330105 105710660210 211421320420