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3133122121 is a prime number
BaseRepresentation
bin1011101010111111…
…1010011001001001
322002100112002120001
42322233322121021
522404034401441
61234521403001
7140433045553
oct27257723111
98070462501
103133122121
111368625028
12735339461
133ac15411c
1421a17a4d3
151350dc731
hexbabfa649

3133122121 has 2 divisors, whose sum is σ = 3133122122. Its totient is φ = 3133122120.

The previous prime is 3133122107. The next prime is 3133122191. The reversal of 3133122121 is 1212213313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3109735225 + 23386896 = 55765^2 + 4836^2 .

It is an emirp because it is prime and its reverse (1212213313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3133122121 - 211 = 3133120073 is a prime.

It is not a weakly prime, because it can be changed into another prime (3133122101) 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, 1566561060 + 1566561061.

It is an arithmetic number, because the mean of its divisors is an integer number (1566561061).

Almost surely, 23133122121 is an apocalyptic number.

It is an amenable number.

3133122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

3133122121 is an equidigital number, since it uses as much as digits as its factorization.

3133122121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 216, while the sum is 19.

The square root of 3133122121 is about 55974.2987539817. The cubic root of 3133122121 is about 1463.2743987152.

Adding to 3133122121 its reverse (1212213313), we get a palindrome (4345335434).

The spelling of 3133122121 in words is "three billion, one hundred thirty-three million, one hundred twenty-two thousand, one hundred twenty-one".