Search a number
-
+
1312957201 is a prime number
BaseRepresentation
bin100111001000010…
…0010001100010001
310101111120010200111
41032100202030101
510142104112301
6334141121321
744351644363
oct11620421421
93344503614
101312957201
116141481a6
12307859241
1317c02386a
14c6534d33
157a3ee551
hex4e422311

1312957201 has 2 divisors, whose sum is σ = 1312957202. Its totient is φ = 1312957200.

The previous prime is 1312957199. The next prime is 1312957241. The reversal of 1312957201 is 1027592131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1014358801 + 298598400 = 31849^2 + 17280^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312957201 - 21 = 1312957199 is a prime.

It is a super-2 number, since 2×13129572012 = 3447713223315508802, which contains 22 as substring.

Together with 1312957199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1312957241) 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, 656478600 + 656478601.

It is an arithmetic number, because the mean of its divisors is an integer number (656478601).

Almost surely, 21312957201 is an apocalyptic number.

It is an amenable number.

1312957201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312957201 is an equidigital number, since it uses as much as digits as its factorization.

1312957201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 1312957201 is about 36234.7512893355. The cubic root of 1312957201 is about 1095.0069016753.

The spelling of 1312957201 in words is "one billion, three hundred twelve million, nine hundred fifty-seven thousand, two hundred one".