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10217131429 is a prime number
BaseRepresentation
bin10011000001111110…
…10000110110100101
3222101001100001110011
421200333100312211
5131411041201204
64405500330221
7511122120121
oct114077206645
928331301404
1010217131429
11437333907a
121b91843971
13c6a9922cb
146ccd24581
153ebe9d304
hex260fd0da5

10217131429 has 2 divisors, whose sum is σ = 10217131430. Its totient is φ = 10217131428.

The previous prime is 10217131409. The next prime is 10217131447. The reversal of 10217131429 is 92413171201.

It is a happy number.

10217131429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5285580804 + 4931550625 = 72702^2 + 70225^2 .

It is a cyclic number.

It is not a de Polignac number, because 10217131429 - 213 = 10217123237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10217131429.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10217131409) 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, 5108565714 + 5108565715.

It is an arithmetic number, because the mean of its divisors is an integer number (5108565715).

Almost surely, 210217131429 is an apocalyptic number.

It is an amenable number.

10217131429 is a deficient number, since it is larger than the sum of its proper divisors (1).

10217131429 is an equidigital number, since it uses as much as digits as its factorization.

10217131429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 31.

The spelling of 10217131429 in words is "ten billion, two hundred seventeen million, one hundred thirty-one thousand, four hundred twenty-nine".