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10124824109 is a prime number
BaseRepresentation
bin10010110110111110…
…01000111000101101
3222010121122100121112
421123133020320231
5131213423332414
64352402041405
7505621404431
oct113337107055
928117570545
1010124824109
114326221234
121b66949265
13c548130aa
146c09769c1
153e3d17d3e
hex25b7c8e2d

10124824109 has 2 divisors, whose sum is σ = 10124824110. Its totient is φ = 10124824108.

The previous prime is 10124824097. The next prime is 10124824187. The reversal of 10124824109 is 90142842101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9413268484 + 711555625 = 97022^2 + 26675^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10124824109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10124824609) 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, 5062412054 + 5062412055.

It is an arithmetic number, because the mean of its divisors is an integer number (5062412055).

Almost surely, 210124824109 is an apocalyptic number.

It is an amenable number.

10124824109 is a deficient number, since it is larger than the sum of its proper divisors (1).

10124824109 is an equidigital number, since it uses as much as digits as its factorization.

10124824109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 32.

The spelling of 10124824109 in words is "ten billion, one hundred twenty-four million, eight hundred twenty-four thousand, one hundred nine".