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21202332006829 is a prime number
BaseRepresentation
bin1001101001000100011010…
…11101111011100110101101
32210001220220222020211121111
410310202031131323212231
510234334333443204304
6113032114501432021
74315550360323441
oct464421535734655
983056828224544
1021202332006829
1168349497463a6
1224651a210b611
13baa4a9a6c12c
145342ac386821
1526b7c4666704
hex13488d77b9ad

21202332006829 has 2 divisors, whose sum is σ = 21202332006830. Its totient is φ = 21202332006828.

The previous prime is 21202332006767. The next prime is 21202332006857. The reversal of 21202332006829 is 92860023320212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10984253062500 + 10218078944329 = 3314250^2 + 3196573^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21202332006829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21202332006791 and 21202332006800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21202332006329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10601166003414 + 10601166003415.

It is an arithmetic number, because the mean of its divisors is an integer number (10601166003415).

Almost surely, 221202332006829 is an apocalyptic number.

It is an amenable number.

21202332006829 is a deficient number, since it is larger than the sum of its proper divisors (1).

21202332006829 is an equidigital number, since it uses as much as digits as its factorization.

21202332006829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 21202332006829 in words is "twenty-one trillion, two hundred two billion, three hundred thirty-two million, six thousand, eight hundred twenty-nine".