Search a number
-
+
10337664221 is a prime number
BaseRepresentation
bin10011010000010110…
…00011110011011101
3222200110010202100122
421220023003303131
5132132420223341
64425444004325
7514114460513
oct115013036335
928613122318
1010337664221
114425384155
1220060906a5
13c899448a1
14700d3c4b3
1540785b94b
hex2682c3cdd

10337664221 has 2 divisors, whose sum is σ = 10337664222. Its totient is φ = 10337664220.

The previous prime is 10337664187. The next prime is 10337664223. The reversal of 10337664221 is 12246673301.

10337664221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6855012025 + 3482652196 = 82795^2 + 59014^2 .

It is a cyclic number.

It is not a de Polignac number, because 10337664221 - 222 = 10333469917 is a prime.

It is a super-2 number, since 2×103376642212 (a number of 21 digits) contains 22 as substring.

Together with 10337664223, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10337664223) 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 as a sum of consecutive naturals, namely, 5168832110 + 5168832111.

It is an arithmetic number, because the mean of its divisors is an integer number (5168832111).

Almost surely, 210337664221 is an apocalyptic number.

It is an amenable number.

10337664221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10337664221 is an equidigital number, since it uses as much as digits as its factorization.

10337664221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 10337664221 in words is "ten billion, three hundred thirty-seven million, six hundred sixty-four thousand, two hundred twenty-one".