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333441420116341 is a prime number
BaseRepresentation
bin100101111010000110110000…
…1011001100100000101110101
31121201121200120212201220200011
41023310031201121210011311
5322201101012022210331
63141100512420020221
7130143230142413155
oct11364154131440565
91551550525656604
10333441420116341
1197276791946059
1231493220b31671
1311409511037674
145c4a917cb6765
15288389ac773b1
hex12f4361664175

333441420116341 has 2 divisors, whose sum is σ = 333441420116342. Its totient is φ = 333441420116340.

The previous prime is 333441420116257. The next prime is 333441420116417. The reversal of 333441420116341 is 143611024144333.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 215774682511441 + 117666737604900 = 14689271^2 + 10847430^2 .

It is a cyclic number.

It is not a de Polignac number, because 333441420116341 - 29 = 333441420115829 is a prime.

It is a super-2 number, since 2×3334414201163412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 333441420116294 and 333441420116303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (333441420116141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 166720710058170 + 166720710058171.

It is an arithmetic number, because the mean of its divisors is an integer number (166720710058171).

Almost surely, 2333441420116341 is an apocalyptic number.

It is an amenable number.

333441420116341 is a deficient number, since it is larger than the sum of its proper divisors (1).

333441420116341 is an equidigital number, since it uses as much as digits as its factorization.

333441420116341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 333441420116341 in words is "three hundred thirty-three trillion, four hundred forty-one billion, four hundred twenty million, one hundred sixteen thousand, three hundred forty-one".