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10024231829 is a prime number
BaseRepresentation
bin10010101010111110…
…11010001110010101
3221212121100201221112
421111133122032111
5131012200404304
64334410024405
7503260364453
oct112537321625
927777321845
1010024231829
114284465817
121b39118105
13c39a22b31
146b146d9d3
153da097b6e
hex2557da395

10024231829 has 2 divisors, whose sum is σ = 10024231830. Its totient is φ = 10024231828.

The previous prime is 10024231813. The next prime is 10024231873. The reversal of 10024231829 is 92813242001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7556824900 + 2467406929 = 86930^2 + 49673^2 .

It is a cyclic number.

It is not a de Polignac number, because 10024231829 - 24 = 10024231813 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10024231795 and 10024231804.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10024231879) 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, 5012115914 + 5012115915.

It is an arithmetic number, because the mean of its divisors is an integer number (5012115915).

Almost surely, 210024231829 is an apocalyptic number.

It is an amenable number.

10024231829 is a deficient number, since it is larger than the sum of its proper divisors (1).

10024231829 is an equidigital number, since it uses as much as digits as its factorization.

10024231829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 10024231829 in words is "ten billion, twenty-four million, two hundred thirty-one thousand, eight hundred twenty-nine".