Search a number
-
+
13307149 is a prime number
BaseRepresentation
bin110010110000…
…110100001101
3221001001222101
4302300310031
511401312044
61153115101
7221052232
oct62606415
927031871
1013307149
117569949
124558a91
1329abc6b
141aa5789
15127ccd4
hexcb0d0d

13307149 has 2 divisors, whose sum is σ = 13307150. Its totient is φ = 13307148.

The previous prime is 13307131. The next prime is 13307171. The reversal of 13307149 is 94170331.

13307149 is digitally balanced in base 3, 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., 12638025 + 669124 = 3555^2 + 818^2 .

It is an emirp because it is prime and its reverse (94170331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13307149 - 29 = 13306637 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13307249) 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, 6653574 + 6653575.

It is an arithmetic number, because the mean of its divisors is an integer number (6653575).

Almost surely, 213307149 is an apocalyptic number.

It is an amenable number.

13307149 is a deficient number, since it is larger than the sum of its proper divisors (1).

13307149 is an equidigital number, since it uses as much as digits as its factorization.

13307149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 13307149 is about 3647.8965171726. The cubic root of 13307149 is about 236.9708937770.

It can be divided in two parts, 13307 and 149, that added together give a square (13456 = 1162).

The spelling of 13307149 in words is "thirteen million, three hundred seven thousand, one hundred forty-nine".