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211404310420 = 22510570215521
BaseRepresentation
bin1100010011100010101…
…1011100011110010100
3202012200010111200100211
43010320223130132110
511430424000413140
6241041240015204
721162536663302
oct3047053343624
9665603450324
10211404310420
1181724249436
1234b7aa61504
1316c20c37054
14a336959272
1557747792ea
hex3138adc794

211404310420 has 12 divisors (see below), whose sum is σ = 443949051924. Its totient is φ = 84561724160.

The previous prime is 211404310417. The next prime is 211404310427. The reversal of 211404310420 is 24013404112.

It is a happy number.

211404310420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 37016220816 + 174388089604 = 192396^2 + 417598^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211404310391 and 211404310400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211404310427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5285107741 + ... + 5285107780.

It is an arithmetic number, because the mean of its divisors is an integer number (36995754327).

Almost surely, 2211404310420 is an apocalyptic number.

211404310420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211404310420 is an abundant number, since it is smaller than the sum of its proper divisors (232544741504).

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

211404310420 is a wasteful number, since it uses less digits than its factorization.

211404310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10570215530 (or 10570215528 counting only the distinct ones).

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

Adding to 211404310420 its reverse (24013404112), we get a palindrome (235417714532).

The spelling of 211404310420 in words is "two hundred eleven billion, four hundred four million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 10570215521 21140431042 42280862084 52851077605 105702155210 211404310420