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103121132333 is a prime number
BaseRepresentation
bin110000000001001111…
…1111001101100101101
3100212011200121021220112
41200002133321230231
53142143002213313
6115212335425405
710310303106452
oct1400237715455
9325150537815
10103121132333
113a80821100a
1217b9b085265
1399553263cb
144dc3799829
152a382598a8
hex18027f9b2d

103121132333 has 2 divisors, whose sum is σ = 103121132334. Its totient is φ = 103121132332.

The previous prime is 103121132327. The next prime is 103121132357. The reversal of 103121132333 is 333231121301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102142881604 + 978250729 = 319598^2 + 31277^2 .

It is a cyclic number.

It is not a de Polignac number, because 103121132333 - 28 = 103121132077 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103121132299 and 103121132308.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103121122333) 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, 51560566166 + 51560566167.

It is an arithmetic number, because the mean of its divisors is an integer number (51560566167).

Almost surely, 2103121132333 is an apocalyptic number.

It is an amenable number.

103121132333 is a deficient number, since it is larger than the sum of its proper divisors (1).

103121132333 is an equidigital number, since it uses as much as digits as its factorization.

103121132333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 103121132333 its reverse (333231121301), we get a palindrome (436352253634).

The spelling of 103121132333 in words is "one hundred three billion, one hundred twenty-one million, one hundred thirty-two thousand, three hundred thirty-three".