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214101430209 = 32171399355753
BaseRepresentation
bin1100011101100101110…
…0001000111111000001
3202110122002121120011100
43013121130020333001
512001434431231314
6242205024405013
721316430062302
oct3073134107701
9673562546140
10214101430209
1182888748457
12355b2176769
1317260952814
14a510c3c7a9
155881440c09
hex31d9708fc1

214101430209 has 12 divisors (see below), whose sum is σ = 327449246436. Its totient is φ = 134338152192.

The previous prime is 214101430163. The next prime is 214101430211. The reversal of 214101430209 is 902034101412.

It is a happy number.

214101430209 is a `hidden beast` number, since 2 + 1 + 410 + 1 + 43 + 0 + 209 = 666.

214101430209 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 195742535184 + 18358895025 = 442428^2 + 135495^2 .

It is not a de Polignac number, because 214101430209 - 29 = 214101429697 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214101430229) 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 11 ways as a sum of consecutive naturals, for example, 699677724 + ... + 699678029.

It is an arithmetic number, because the mean of its divisors is an integer number (27287437203).

Almost surely, 2214101430209 is an apocalyptic number.

It is an amenable number.

214101430209 is a deficient number, since it is larger than the sum of its proper divisors (113347816227).

214101430209 is a wasteful number, since it uses less digits than its factorization.

214101430209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399355776 (or 1399355773 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 214101430209 in words is "two hundred fourteen billion, one hundred one million, four hundred thirty thousand, two hundred nine".

Divisors: 1 3 9 17 51 153 1399355753 4198067259 12594201777 23789047801 71367143403 214101430209