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214291848221001 = 32121719564671617
BaseRepresentation
bin110000101110010110110101…
…011111011101000101001001
31001002202002201100110202112100
4300232112311133131011021
5211041424201121033001
62035432152132504013
763065034523641225
oct6056266537350511
91032662640422470
10214291848221001
116230973181aaa1
122004b24247b009
139275833228a55
143acbad06db785
1519b9351b6e586
hexc2e5b57dd149

214291848221001 has 12 divisors (see below), whose sum is σ = 309787010399412. Its totient is φ = 142743844110336.

The previous prime is 214291848220973. The next prime is 214291848221021. The reversal of 214291848221001 is 100122848192412.

214291848221001 is a `hidden beast` number, since 2 + 1 + 429 + 1 + 8 + 4 + 8 + 2 + 210 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 92728522089225 + 121563326131776 = 9629565^2 + 11025576^2 .

It is not a de Polignac number, because 214291848221001 - 27 = 214291848220873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214291848221021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9782324856 + ... + 9782346761.

It is an arithmetic number, because the mean of its divisors is an integer number (25815584199951).

Almost surely, 2214291848221001 is an apocalyptic number.

It is an amenable number.

214291848221001 is a deficient number, since it is larger than the sum of its proper divisors (95495162178411).

214291848221001 is a wasteful number, since it uses less digits than its factorization.

214291848221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19564672840 (or 19564672837 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 214291848221001 in words is "two hundred fourteen trillion, two hundred ninety-one billion, eight hundred forty-eight million, two hundred twenty-one thousand, one".

Divisors: 1 3 9 1217 3651 10953 19564671617 58694014851 176082044553 23810205357889 71430616073667 214291848221001