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103224121333 is a prime number
BaseRepresentation
bin110000000100010100…
…0110001011111110101
3100212102212101200020221
41200020220301133311
53142400333340313
6115230455054341
710312663361104
oct1401050613765
9325385350227
10103224121333
113a860364193
12180096713b1
139970775548
144dd332803b
152a422eec8d
hex1808a317f5

103224121333 has 2 divisors, whose sum is σ = 103224121334. Its totient is φ = 103224121332.

The previous prime is 103224121321. The next prime is 103224121349. The reversal of 103224121333 is 333121422301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81189093969 + 22035027364 = 284937^2 + 148442^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103224121333 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103224121298 and 103224121307.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103224121733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51612060666 + 51612060667.

It is an arithmetic number, because the mean of its divisors is an integer number (51612060667).

Almost surely, 2103224121333 is an apocalyptic number.

It is an amenable number.

103224121333 is a deficient number, since it is larger than the sum of its proper divisors (1).

103224121333 is an equidigital number, since it uses as much as digits as its factorization.

103224121333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 103224121333 its reverse (333121422301), we get a palindrome (436345543634).

The spelling of 103224121333 in words is "one hundred three billion, two hundred twenty-four million, one hundred twenty-one thousand, three hundred thirty-three".