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213201113321 = 7219312253259
BaseRepresentation
bin1100011010001111000…
…1101101000011101001
3202101022100111201120102
43012203301231003221
511443113441111241
6241535423435145
721255215363600
oct3064361550351
9671270451512
10213201113321
118246651a009
12353a0755ab5
1317149277b31
14a46743ca37
15582c3a039b
hex31a3c6d0e9

213201113321 has 12 divisors (see below), whose sum is σ = 248138004240. Its totient is φ = 182649093480.

The previous prime is 213201113311. The next prime is 213201113327. The reversal of 213201113321 is 123311102312.

It is a happy number.

213201113321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213201113321 - 218 = 213200851177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213201113293 and 213201113302.

It is not an unprimeable number, because it can be changed into a prime (213201113327) 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, 1032011 + ... + 1221248.

It is an arithmetic number, because the mean of its divisors is an integer number (20678167020).

Almost surely, 2213201113321 is an apocalyptic number.

It is an amenable number.

213201113321 is a deficient number, since it is larger than the sum of its proper divisors (34936890919).

213201113321 is a wasteful number, since it uses less digits than its factorization.

213201113321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255204 (or 2255197 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 213201113321 its reverse (123311102312), we get a palindrome (336512215633).

The spelling of 213201113321 in words is "two hundred thirteen billion, two hundred one million, one hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 7 49 1931 13517 94619 2253259 15772813 110409691 4351043129 30457301903 213201113321