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150065106133 is a prime number
BaseRepresentation
bin1000101111000010010…
…0111100110011010101
3112100100021222020200211
42023300210330303111
54424313131344013
6152534452005421
713561516233025
oct2136044746325
9470307866624
10150065106133
1158707927378
1225100600871
13111c6bc65b7
14739829ba85
153d8469023d
hex22f093ccd5

150065106133 has 2 divisors, whose sum is σ = 150065106134. Its totient is φ = 150065106132.

The previous prime is 150065106083. The next prime is 150065106161. The reversal of 150065106133 is 331601560051.

150065106133 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., 124745295249 + 25319810884 = 353193^2 + 159122^2 .

It is a cyclic number.

It is not a de Polignac number, because 150065106133 - 225 = 150031551701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 150065106095 and 150065106104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (150065106193) 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, 75032553066 + 75032553067.

It is an arithmetic number, because the mean of its divisors is an integer number (75032553067).

Almost surely, 2150065106133 is an apocalyptic number.

It is an amenable number.

150065106133 is a deficient number, since it is larger than the sum of its proper divisors (1).

150065106133 is an equidigital number, since it uses as much as digits as its factorization.

150065106133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8100, while the sum is 31.

Adding to 150065106133 its reverse (331601560051), we get a palindrome (481666666184).

The spelling of 150065106133 in words is "one hundred fifty billion, sixty-five million, one hundred six thousand, one hundred thirty-three".