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153006604301 is a prime number
BaseRepresentation
bin1000111001111111100…
…1111000000000001101
3112121221021220211121102
42032133321320000031
510001324142314201
6154142410312445
714024434451315
oct2163771700015
9477837824542
10153006604301
115998726a4a1
12257a1728725
1311575436a65
147596bd6445
153ea7a2a26b
hex239fe7800d

153006604301 has 2 divisors, whose sum is σ = 153006604302. Its totient is φ = 153006604300.

The previous prime is 153006604259. The next prime is 153006604319. The reversal of 153006604301 is 103406600351.

It is a happy number.

153006604301 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., 142676931076 + 10329673225 = 377726^2 + 101635^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-153006604301 is a prime.

It is a super-2 number, since 2×1530066043012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (153006604351) 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, 76503302150 + 76503302151.

It is an arithmetic number, because the mean of its divisors is an integer number (76503302151).

Almost surely, 2153006604301 is an apocalyptic number.

It is an amenable number.

153006604301 is a deficient number, since it is larger than the sum of its proper divisors (1).

153006604301 is an equidigital number, since it uses as much as digits as its factorization.

153006604301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 153006604301 in words is "one hundred fifty-three billion, six million, six hundred four thousand, three hundred one".