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213303324431 = 3153239543203
BaseRepresentation
bin1100011010100111011…
…1100110111100001111
3202101120110211120212002
43012221313212330033
511443321122340211
6241553514302515
721260566225301
oct3065167467417
9671513746762
10213303324431
11825091907aa
123540aa27a3b
13171644b3b92
14a476c47971
15583634003b
hex31a9de6f0f

213303324431 has 16 divisors (see below), whose sum is σ = 225277562880. Its totient is φ = 201680038560.

The previous prime is 213303324379. The next prime is 213303324491. The reversal of 213303324431 is 134423303312.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213303324431 is a prime.

It is a super-2 number, since 2×2133033244312 (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 = 213303324394 and 213303324403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213303324491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121076 + ... + 664278.

It is an arithmetic number, because the mean of its divisors is an integer number (14079847680).

Almost surely, 2213303324431 is an apocalyptic number.

213303324431 is a deficient number, since it is larger than the sum of its proper divisors (11974238449).

213303324431 is a wasteful number, since it uses less digits than its factorization.

213303324431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543526.

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 213303324431 its reverse (134423303312), we get a palindrome (347726627743).

The spelling of 213303324431 in words is "two hundred thirteen billion, three hundred three million, three hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 31 53 239 1643 7409 12667 392677 543203 16839293 28789759 129825517 892482529 4024591027 6880752401 213303324431