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213372933695953 is a prime number
BaseRepresentation
bin110000100000111111000001…
…111010101110100111010001
31000222111020211121200020202021
4300200333001322232213101
5210431400232011232303
62033450101133251441
762641454131232623
oct6040770172564721
91028436747606667
10213372933695953
1161a94a534a5619
121bb2112b933b81
139209c9ac2b5b5
143a9943b26ac13
1519a04bdd3debd
hexc20fc1eae9d1

213372933695953 has 2 divisors, whose sum is σ = 213372933695954. Its totient is φ = 213372933695952.

The previous prime is 213372933695941. The next prime is 213372933696011. The reversal of 213372933695953 is 359596339273312.

213372933695953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 135370246456384 + 78002687239569 = 11634872^2 + 8831913^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213372933695953 is a prime.

It is a super-3 number, since 3×2133729336959533 (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (213372933695903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106686466847976 + 106686466847977.

It is an arithmetic number, because the mean of its divisors is an integer number (106686466847977).

Almost surely, 2213372933695953 is an apocalyptic number.

It is an amenable number.

213372933695953 is a deficient number, since it is larger than the sum of its proper divisors (1).

213372933695953 is an equidigital number, since it uses as much as digits as its factorization.

213372933695953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 744017400, while the sum is 70.

The spelling of 213372933695953 in words is "two hundred thirteen trillion, three hundred seventy-two billion, nine hundred thirty-three million, six hundred ninety-five thousand, nine hundred fifty-three".