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413233311349 is a prime number
BaseRepresentation
bin1100000001101101001…
…11111110111001110101
31110111121221101020110101
412000312213332321311
523232300211430344
6513500423554101
741566210122445
oct6006647767165
91414557336411
10413233311349
1114a284482051
1268106bbb931
132cc7715b5a1
1416001902125
15ab385849d4
hex60369fee75

413233311349 has 2 divisors, whose sum is σ = 413233311350. Its totient is φ = 413233311348.

The previous prime is 413233311329. The next prime is 413233311371. The reversal of 413233311349 is 943113332314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 412187112324 + 1046199025 = 642018^2 + 32345^2 .

It is a cyclic number.

It is not a de Polignac number, because 413233311349 - 211 = 413233309301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413233311329) 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, 206616655674 + 206616655675.

It is an arithmetic number, because the mean of its divisors is an integer number (206616655675).

Almost surely, 2413233311349 is an apocalyptic number.

It is an amenable number.

413233311349 is a deficient number, since it is larger than the sum of its proper divisors (1).

413233311349 is an equidigital number, since it uses as much as digits as its factorization.

413233311349 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 69984, while the sum is 37.

The spelling of 413233311349 in words is "four hundred thirteen billion, two hundred thirty-three million, three hundred eleven thousand, three hundred forty-nine".