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213241333331 = 13177113590041
BaseRepresentation
bin1100011010011000101…
…1001000011001010011
3202101102011012010001102
43012212023020121103
511443204240131311
6241543421455015
721256214266235
oct3064613103123
9671364163042
10213241333331
118248719a994
12353b211146b
13171546ba860
14a46c90c255
155830b9743b
hex31a62c8653

213241333331 has 16 divisors (see below), whose sum is σ = 246577722048. Its totient is φ = 182650137600.

The previous prime is 213241333309. The next prime is 213241333367. The reversal of 213241333331 is 133333142312.

It is a cyclic number.

It is not a de Polignac number, because 213241333331 - 210 = 213241332307 is a prime.

It is a super-2 number, since 2×2132413333312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 213241333294 and 213241333303.

It is not an unprimeable number, because it can be changed into a prime (213241333301) 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 15 ways as a sum of consecutive naturals, for example, 6779330 + ... + 6810711.

It is an arithmetic number, because the mean of its divisors is an integer number (15411107628).

Almost surely, 2213241333331 is an apocalyptic number.

213241333331 is a deficient number, since it is larger than the sum of its proper divisors (33336388717).

213241333331 is a wasteful number, since it uses less digits than its factorization.

213241333331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13590142.

The product of its digits is 11664, while the sum is 29.

Adding to 213241333331 its reverse (133333142312), we get a palindrome (346574475643).

The spelling of 213241333331 in words is "two hundred thirteen billion, two hundred forty-one million, three hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 13 17 71 221 923 1207 15691 13590041 176670533 231030697 964892911 3003399061 12543607843 16403179487 213241333331