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13745201 is a prime number
BaseRepresentation
bin110100011011…
…110000110001
3221212022212112
4310123300301
512004321301
61210335105
7224555321
oct64336061
927768775
1013745201
117838a78
12472a495
132b03472
141b7b281
1513179bb
hexd1bc31

13745201 has 2 divisors, whose sum is σ = 13745202. Its totient is φ = 13745200.

The previous prime is 13745177. The next prime is 13745203. The reversal of 13745201 is 10254731.

13745201 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., 11895601 + 1849600 = 3449^2 + 1360^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13745201 is a prime.

It is a Sophie Germain prime.

Together with 13745203, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13745203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6872600 + 6872601.

It is an arithmetic number, because the mean of its divisors is an integer number (6872601).

Almost surely, 213745201 is an apocalyptic number.

It is an amenable number.

13745201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13745201 is an equidigital number, since it uses as much as digits as its factorization.

13745201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 13745201 is about 3707.4520900478. The cubic root of 13745201 is about 239.5431180658.

Adding to 13745201 its reverse (10254731), we get a palindrome (23999932).

The spelling of 13745201 in words is "thirteen million, seven hundred forty-five thousand, two hundred one".