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154114005301 is a prime number
BaseRepresentation
bin1000111110000111101…
…0010001100100110101
3112201210110200122012021
42033201322101210311
510011111141132201
6154444325553141
714064042300544
oct2174172214465
9481713618167
10154114005301
115a3a537a233
1225a505757b1
13116c09a9319
14765dd0015b
15401ed73ea1
hex23e1e91935

154114005301 has 2 divisors, whose sum is σ = 154114005302. Its totient is φ = 154114005300.

The previous prime is 154114005277. The next prime is 154114005317. The reversal of 154114005301 is 103500411451.

154114005301 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., 154017002500 + 97002801 = 392450^2 + 9849^2 .

It is a cyclic number.

It is not a de Polignac number, because 154114005301 - 215 = 154113972533 is a prime.

It is a super-2 number, since 2×1541140053012 (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 (154114005601) 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, 77057002650 + 77057002651.

It is an arithmetic number, because the mean of its divisors is an integer number (77057002651).

Almost surely, 2154114005301 is an apocalyptic number.

It is an amenable number.

154114005301 is a deficient number, since it is larger than the sum of its proper divisors (1).

154114005301 is an equidigital number, since it uses as much as digits as its factorization.

154114005301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1200, while the sum is 25.

Adding to 154114005301 its reverse (103500411451), we get a palindrome (257614416752).

The spelling of 154114005301 in words is "one hundred fifty-four billion, one hundred fourteen million, five thousand, three hundred one".