Search a number
-
+
1013211301 is a prime number
BaseRepresentation
bin111100011001000…
…110000010100101
32121121112110121111
4330121012002211
54033340230201
6244312345021
734052103544
oct7431060245
92547473544
101013211301
1147aa27713
122433a5171
13131bb461b
14987ca15b
155de40b51
hex3c6460a5

1013211301 has 2 divisors, whose sum is σ = 1013211302. Its totient is φ = 1013211300.

The previous prime is 1013211299. The next prime is 1013211317. The reversal of 1013211301 is 1031123101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 781258401 + 231952900 = 27951^2 + 15230^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013211301 - 21 = 1013211299 is a prime.

It is a super-2 number, since 2×10132113012 = 2053194280948225202, which contains 22 as substring.

Together with 1013211299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1013211391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506605650 + 506605651.

It is an arithmetic number, because the mean of its divisors is an integer number (506605651).

Almost surely, 21013211301 is an apocalyptic number.

It is an amenable number.

1013211301 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013211301 is an equidigital number, since it uses as much as digits as its factorization.

1013211301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1013211301 is about 31830.9802079672. The cubic root of 1013211301 is about 1004.3845149329.

Adding to 1013211301 its reverse (1031123101), we get a palindrome (2044334402).

The spelling of 1013211301 in words is "one billion, thirteen million, two hundred eleven thousand, three hundred one".