Search a number
-
+
3133333122313 is a prime number
BaseRepresentation
bin101101100110001001001…
…101010010110100001001
3102002112200101001200022111
4231212021031102310021
5402314031234403223
610355233335022321
7442242626045152
oct55461115226411
912075611050274
103133333122313
11aa8925952a49
12427316b0a9a1
1319961a112c54
14ab922d20929
1556789eee30d
hex2d989352d09

3133333122313 has 2 divisors, whose sum is σ = 3133333122314. Its totient is φ = 3133333122312.

The previous prime is 3133333122301. The next prime is 3133333122349. The reversal of 3133333122313 is 3132213333313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1900105104249 + 1233228018064 = 1378443^2 + 1110508^2 .

It is a cyclic number.

It is not a de Polignac number, because 3133333122313 - 29 = 3133333121801 is a prime.

It is not a weakly prime, because it can be changed into another prime (3133333122383) 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, 1566666561156 + 1566666561157.

It is an arithmetic number, because the mean of its divisors is an integer number (1566666561157).

Almost surely, 23133333122313 is an apocalyptic number.

It is an amenable number.

3133333122313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133333122313 is an equidigital number, since it uses as much as digits as its factorization.

3133333122313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26244, while the sum is 31.

Adding to 3133333122313 its reverse (3132213333313), we get a palindrome (6265546455626).

The spelling of 3133333122313 in words is "three trillion, one hundred thirty-three billion, three hundred thirty-three million, one hundred twenty-two thousand, three hundred thirteen".