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10331330333249 is a prime number
BaseRepresentation
bin1001011001010111001101…
…0001100100101001000001
31100120122222011201010002102
42112111303101210221001
52323232031031130444
633550051520000145
72114261665613252
oct226256321445101
940518864633072
1010331330333249
1133235466aa412
1211aa345760055
1359c317b47a53
1427a079254b29
1512db1ce0d84e
hex96573464a41

10331330333249 has 2 divisors, whose sum is σ = 10331330333250. Its totient is φ = 10331330333248.

The previous prime is 10331330333213. The next prime is 10331330333321. The reversal of 10331330333249 is 94233303313301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8467168825600 + 1864161507649 = 2909840^2 + 1365343^2 .

It is a cyclic number.

It is not a de Polignac number, because 10331330333249 - 212 = 10331330329153 is a prime.

It is not a weakly prime, because it can be changed into another prime (10331330333549) 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, 5165665166624 + 5165665166625.

It is an arithmetic number, because the mean of its divisors is an integer number (5165665166625).

Almost surely, 210331330333249 is an apocalyptic number.

It is an amenable number.

10331330333249 is a deficient number, since it is larger than the sum of its proper divisors (1).

10331330333249 is an equidigital number, since it uses as much as digits as its factorization.

10331330333249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 157464, while the sum is 38.

The spelling of 10331330333249 in words is "ten trillion, three hundred thirty-one billion, three hundred thirty million, three hundred thirty-three thousand, two hundred forty-nine".