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10224200153 is a prime number
BaseRepresentation
bin10011000010110100…
…01110100111011001
3222101112122011220202
421201122032213121
5131414343401103
64410312031545
7511236160466
oct114132164731
928345564822
1010224200153
1143773269a2
121b940925b5
13c6c29889b
146cdc4466d
153ec8e7988
hex26168e9d9

10224200153 has 2 divisors, whose sum is σ = 10224200154. Its totient is φ = 10224200152.

The previous prime is 10224200141. The next prime is 10224200159. The reversal of 10224200153 is 35100242201.

10224200153 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., 5415193744 + 4809006409 = 73588^2 + 69347^2 .

It is a cyclic number.

It is not a de Polignac number, because 10224200153 - 26 = 10224200089 is a prime.

It is not a weakly prime, because it can be changed into another prime (10224200159) 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, 5112100076 + 5112100077.

It is an arithmetic number, because the mean of its divisors is an integer number (5112100077).

Almost surely, 210224200153 is an apocalyptic number.

It is an amenable number.

10224200153 is a deficient number, since it is larger than the sum of its proper divisors (1).

10224200153 is an equidigital number, since it uses as much as digits as its factorization.

10224200153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 10224200153 its reverse (35100242201), we get a palindrome (45324442354).

The spelling of 10224200153 in words is "ten billion, two hundred twenty-four million, two hundred thousand, one hundred fifty-three".