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10042311042629 is a prime number
BaseRepresentation
bin1001001000100010100001…
…1000011110011001000101
31022120000221220220220211022
42102020220120132121011
52304013123111331004
633205212441320525
72054350554310565
oct222105030363105
938500856826738
1010042311042629
113221a13865648
121162325796145
1357aca7c4b218
1426a09c600da5
1512635477d2be
hex9222861e645

10042311042629 has 2 divisors, whose sum is σ = 10042311042630. Its totient is φ = 10042311042628.

The previous prime is 10042311042611. The next prime is 10042311042713. The reversal of 10042311042629 is 92624011324001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9914878464100 + 127432578529 = 3148790^2 + 356977^2 .

It is a cyclic number.

It is not a de Polignac number, because 10042311042629 - 212 = 10042311038533 is a prime.

It is a super-2 number, since 2×100423110426292 (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10042311042229) 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, 5021155521314 + 5021155521315.

It is an arithmetic number, because the mean of its divisors is an integer number (5021155521315).

Almost surely, 210042311042629 is an apocalyptic number.

It is an amenable number.

10042311042629 is a deficient number, since it is larger than the sum of its proper divisors (1).

10042311042629 is an equidigital number, since it uses as much as digits as its factorization.

10042311042629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 10042311042629 in words is "ten trillion, forty-two billion, three hundred eleven million, forty-two thousand, six hundred twenty-nine".