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153881312153 is a prime number
BaseRepresentation
bin1000111101010000001…
…0100111101110011001
3112201012020211121012112
42033110002213232121
510010122103442103
6154405254322105
714055215400062
oct2172402475631
9481166747175
10153881312153
115a295a97448
12259a6659335
131168471627a
14763b04b569
15400970ccd8
hex23d40a7b99

153881312153 has 2 divisors, whose sum is σ = 153881312154. Its totient is φ = 153881312152.

The previous prime is 153881312111. The next prime is 153881312191. The reversal of 153881312153 is 351213188351.

153881312153 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., 138523162969 + 15358149184 = 372187^2 + 123928^2 .

It is a cyclic number.

It is not a de Polignac number, because 153881312153 - 220 = 153880263577 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 153881312153.

It is not a weakly prime, because it can be changed into another prime (153881312953) 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, 76940656076 + 76940656077.

It is an arithmetic number, because the mean of its divisors is an integer number (76940656077).

Almost surely, 2153881312153 is an apocalyptic number.

It is an amenable number.

153881312153 is a deficient number, since it is larger than the sum of its proper divisors (1).

153881312153 is an equidigital number, since it uses as much as digits as its factorization.

153881312153 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 86400, while the sum is 41.

The spelling of 153881312153 in words is "one hundred fifty-three billion, eight hundred eighty-one million, three hundred twelve thousand, one hundred fifty-three".