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213332300001 = 32137173018897
BaseRepresentation
bin1100011010101110011…
…0001001000011100001
3202101122111100200212100
43012223212021003201
511443401032100001
6242000431321013
721261400426212
oct3065346110341
9671574320770
10213332300001
1182523581557
1235418680169
131716a4ba7a2
14a47aa2b409
155838b65586
hex31ab9890e1

213332300001 has 12 divisors (see below), whose sum is σ = 310395903012. Its totient is φ = 141183419136.

The previous prime is 213332299981. The next prime is 213332300009. The reversal of 213332300001 is 100003233312.

It can be written as a sum of positive squares in 2 ways, for example, as 94962585600 + 118369714401 = 308160^2 + 344049^2 .

It is not a de Polignac number, because 213332300001 - 26 = 213332299937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213332300009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86508216 + ... + 86510681.

It is an arithmetic number, because the mean of its divisors is an integer number (25866325251).

Almost surely, 2213332300001 is an apocalyptic number.

It is an amenable number.

213332300001 is a deficient number, since it is larger than the sum of its proper divisors (97063603011).

213332300001 is a wasteful number, since it uses less digits than its factorization.

213332300001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173019040 (or 173019037 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 213332300001 its reverse (100003233312), we get a palindrome (313335533313).

The spelling of 213332300001 in words is "two hundred thirteen billion, three hundred thirty-two million, three hundred thousand, one".

Divisors: 1 3 9 137 411 1233 173018897 519056691 1557170073 23703588889 71110766667 213332300001