Search a number
-
+
3121221253 is a prime number
BaseRepresentation
bin1011101000001010…
…0000111010000101
322001112010110122011
42322002200322011
522343013040003
61233414334221
7140226641263
oct27202407205
98045113564
103121221253
1113619367a7
1273135a371
133a98482a7
1421875d433
1513403b46d
hexba0a0e85

3121221253 has 2 divisors, whose sum is σ = 3121221254. Its totient is φ = 3121221252.

The previous prime is 3121221241. The next prime is 3121221277. The reversal of 3121221253 is 3521221213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2503301089 + 617920164 = 50033^2 + 24858^2 .

It is an emirp because it is prime and its reverse (3521221213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3121221253 - 29 = 3121220741 is a prime.

It is a super-2 number, since 2×31212212532 = 19484044220357780018, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3121221553) 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, 1560610626 + 1560610627.

It is an arithmetic number, because the mean of its divisors is an integer number (1560610627).

Almost surely, 23121221253 is an apocalyptic number.

It is an amenable number.

3121221253 is a deficient number, since it is larger than the sum of its proper divisors (1).

3121221253 is an equidigital number, since it uses as much as digits as its factorization.

3121221253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 720, while the sum is 22.

The square root of 3121221253 is about 55867.8910734959. The cubic root of 3121221253 is about 1461.4193448515.

Adding to 3121221253 its reverse (3521221213), we get a palindrome (6642442466).

The spelling of 3121221253 in words is "three billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred fifty-three".