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10312410029 is a prime number
BaseRepresentation
bin10011001101010101…
…01110001110101101
3222121200121201010012
421212222232032231
5132104434110104
64423142423005
7513360016235
oct114652561655
928550551105
1010312410029
1144120a5319
121bb9731a65
13c84641a8c
146db846cc5
1540551dd6e
hex266aae3ad

10312410029 has 2 divisors, whose sum is σ = 10312410030. Its totient is φ = 10312410028.

The previous prime is 10312410007. The next prime is 10312410047. The reversal of 10312410029 is 92001421301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5929308004 + 4383102025 = 77002^2 + 66205^2 .

It is a cyclic number.

It is not a de Polignac number, because 10312410029 - 232 = 6017442733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10312409986 and 10312410013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10312410079) 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, 5156205014 + 5156205015.

It is an arithmetic number, because the mean of its divisors is an integer number (5156205015).

Almost surely, 210312410029 is an apocalyptic number.

It is an amenable number.

10312410029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10312410029 is an equidigital number, since it uses as much as digits as its factorization.

10312410029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 10312410029 in words is "ten billion, three hundred twelve million, four hundred ten thousand, twenty-nine".