Search a number
-
+
13738357201 is a prime number
BaseRepresentation
bin11001100101101111…
…01011000111010001
31022110110010212010111
430302313223013101
5211114004412301
610151124401321
7664310052352
oct146267530721
938413125114
1013738357201
11590aa43118
1227b4b46241
1313ac350c5a
14944849d29
1555619e551
hex332deb1d1

13738357201 has 2 divisors, whose sum is σ = 13738357202. Its totient is φ = 13738357200.

The previous prime is 13738357183. The next prime is 13738357249. The reversal of 13738357201 is 10275383731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12171384976 + 1566972225 = 110324^2 + 39585^2 .

It is an emirp because it is prime and its reverse (10275383731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13738357201 is a prime.

It is not a weakly prime, because it can be changed into another prime (13738357301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6869178600 + 6869178601.

It is an arithmetic number, because the mean of its divisors is an integer number (6869178601).

Almost surely, 213738357201 is an apocalyptic number.

It is an amenable number.

13738357201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13738357201 is an equidigital number, since it uses as much as digits as its factorization.

13738357201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840, while the sum is 40.

The spelling of 13738357201 in words is "thirteen billion, seven hundred thirty-eight million, three hundred fifty-seven thousand, two hundred one".