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13306981 is a prime number
BaseRepresentation
bin110010110000…
…110001100101
3221001001202011
4302300301211
511401310411
61153114221
7221051602
oct62606145
927031664
1013306981
117569806
124558971
1329abb6c
141aa56a9
15127cc21
hexcb0c65

13306981 has 2 divisors, whose sum is σ = 13306982. Its totient is φ = 13306980.

The previous prime is 13306963. The next prime is 13306991. The reversal of 13306981 is 18960331.

13306981 is nontrivially palindromic in base 5.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7474756 + 5832225 = 2734^2 + 2415^2 .

It is a cyclic number.

It is not a de Polignac number, because 13306981 - 215 = 13274213 is a prime.

It is a super-3 number, since 3×133069813 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13306901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6653490 + 6653491.

It is an arithmetic number, because the mean of its divisors is an integer number (6653491).

Almost surely, 213306981 is an apocalyptic number.

It is an amenable number.

13306981 is a deficient number, since it is larger than the sum of its proper divisors (1).

13306981 is an equidigital number, since it uses as much as digits as its factorization.

13306981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 13306981 is about 3647.8734901309. The cubic root of 13306981 is about 236.9698965367.

The spelling of 13306981 in words is "thirteen million, three hundred six thousand, nine hundred eighty-one".