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153015140017 is a prime number
BaseRepresentation
bin1000111010000001101…
…0011011111010110001
3112121221212222111102001
42032200122123322301
510001333333440032
6154143313254001
714024600141635
oct2164032337261
9477855874361
10153015140017
115999106a503
12257a4564301
1311577134c8c
147597db8dc5
153ea86643e7
hex23a069beb1

153015140017 has 2 divisors, whose sum is σ = 153015140018. Its totient is φ = 153015140016.

The previous prime is 153015139969. The next prime is 153015140021. The reversal of 153015140017 is 710041510351.

153015140017 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., 147148192801 + 5866947216 = 383599^2 + 76596^2 .

It is a cyclic number.

It is not a de Polignac number, because 153015140017 - 215 = 153015107249 is a prime.

It is a super-2 number, since 2×1530151400172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (153015140027) 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, 76507570008 + 76507570009.

It is an arithmetic number, because the mean of its divisors is an integer number (76507570009).

Almost surely, 2153015140017 is an apocalyptic number.

It is an amenable number.

153015140017 is a deficient number, since it is larger than the sum of its proper divisors (1).

153015140017 is an equidigital number, since it uses as much as digits as its factorization.

153015140017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2100, while the sum is 28.

Adding to 153015140017 its reverse (710041510351), we get a palindrome (863056650368).

The spelling of 153015140017 in words is "one hundred fifty-three billion, fifteen million, one hundred forty thousand, seventeen".