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213442122132 = 22325928947837
BaseRepresentation
bin1100011011001000100…
…1000101000110010100
3202101221011000020111200
43012302021011012110
511444112140402012
6242015353232500
721264203050311
oct3066211050624
9671834006450
10213442122132
118257a571548
1235449402730
131718718cbb5
14a48b457d08
15584360a3dc
hex31b2245194

213442122132 has 18 divisors (see below), whose sum is σ = 539534253258. Its totient is φ = 71147374032.

The previous prime is 213442122107. The next prime is 213442122217. The reversal of 213442122132 is 231221244312.

213442122132 is a `hidden beast` number, since 2 + 1 + 3 + 442 + 1 + 2 + 213 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 177177013776 + 36265108356 = 420924^2 + 190434^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213442122096 and 213442122105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2964473883 + ... + 2964473954.

It is an arithmetic number, because the mean of its divisors is an integer number (29974125181).

Almost surely, 2213442122132 is an apocalyptic number.

It is an amenable number.

213442122132 is an abundant number, since it is smaller than the sum of its proper divisors (326092131126).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213442122132 is a wasteful number, since it uses less digits than its factorization.

213442122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928947847 (or 5928947842 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 213442122132 its reverse (231221244312), we get a palindrome (444663366444).

The spelling of 213442122132 in words is "two hundred thirteen billion, four hundred forty-two million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 5928947837 11857895674 17786843511 23715791348 35573687022 53360530533 71147374044 106721061066 213442122132