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214334132321 = 292254856281
BaseRepresentation
bin1100011110011101001…
…1110101000001100001
3202111020022111001110002
43013213103311001201
512002424014213241
6242244100145345
721325254031151
oct3074723650141
9674208431402
10214334132321
1182998036a51
1235658098255
1317299c1998a
14a533ad4761
155896aa989b
hex31e74f5061

214334132321 has 6 divisors (see below), whose sum is σ = 221979821622. Its totient is φ = 206943299360.

The previous prime is 214334132303. The next prime is 214334132323. The reversal of 214334132321 is 123231433412.

214334132321 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 3 ways, for example, as 83752360000 + 130581772321 = 289400^2 + 361361^2 .

It is not a de Polignac number, because 214334132321 - 226 = 214267023457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214334132323) 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 5 ways as a sum of consecutive naturals, for example, 127427300 + ... + 127428981.

It is an arithmetic number, because the mean of its divisors is an integer number (36996636937).

Almost surely, 2214334132321 is an apocalyptic number.

It is an amenable number.

214334132321 is a deficient number, since it is larger than the sum of its proper divisors (7645689301).

214334132321 is an equidigital number, since it uses as much as digits as its factorization.

214334132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254856339 (or 254856310 counting only the distinct ones).

The product of its digits is 10368, while the sum is 29.

Adding to 214334132321 its reverse (123231433412), we get a palindrome (337565565733).

The spelling of 214334132321 in words is "two hundred fourteen billion, three hundred thirty-four million, one hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 29 841 254856281 7390832149 214334132321