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213222210041 = 8921013114013
BaseRepresentation
bin1100011010010100001…
…0001011100111111001
3202101100211012112211102
43012211002023213321
511443134341210131
6241541455541145
721255562611221
oct3064502134771
9671324175742
10213222210041
1182477419315
12353a782a7b5
13171507534b9
14a46a171081
15582e16b1cb
hex31a508b9f9

213222210041 has 8 divisors (see below), whose sum is σ = 215630117640. Its totient is φ = 210814572672.

The previous prime is 213222210023. The next prime is 213222210053. The reversal of 213222210041 is 140012222312.

213222210041 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 4 ways, for example, as 40495525225 + 172726684816 = 201235^2 + 415604^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213222210041 - 210 = 213222209017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213222209995 and 213222210022.

It is not an unprimeable number, because it can be changed into a prime (213222240041) 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 7 ways as a sum of consecutive naturals, for example, 1813151 + ... + 1927163.

It is an arithmetic number, because the mean of its divisors is an integer number (26953764705).

Almost surely, 2213222210041 is an apocalyptic number.

It is an amenable number.

213222210041 is a deficient number, since it is larger than the sum of its proper divisors (2407907599).

213222210041 is a wasteful number, since it uses less digits than its factorization.

213222210041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135115.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 213222210041 its reverse (140012222312), we get a palindrome (353234432353).

The spelling of 213222210041 in words is "two hundred thirteen billion, two hundred twenty-two million, two hundred ten thousand, forty-one".

Divisors: 1 89 21013 114013 1870157 10147157 2395755169 213222210041