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201330134129 is a prime number
BaseRepresentation
bin1011101110000000110…
…1100000110001110001
3201020200001011111111102
42323200031200301301
511244311003243004
6232253443254145
720355101622035
oct2734015406161
9636601144442
10201330134129
1178424680703
123302907a355
1315ca6a781a7
149a5ca081c5
15538511811e
hex2ee0360c71

201330134129 has 2 divisors, whose sum is σ = 201330134130. Its totient is φ = 201330134128.

The previous prime is 201330134113. The next prime is 201330134179. The reversal of 201330134129 is 921431033102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 194016463729 + 7313670400 = 440473^2 + 85520^2 .

It is a cyclic number.

It is not a de Polignac number, because 201330134129 - 24 = 201330134113 is a prime.

It is a super-2 number, since 2×2013301341292 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (201330134179) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100665067064 + 100665067065.

It is an arithmetic number, because the mean of its divisors is an integer number (100665067065).

Almost surely, 2201330134129 is an apocalyptic number.

It is an amenable number.

201330134129 is a deficient number, since it is larger than the sum of its proper divisors (1).

201330134129 is an equidigital number, since it uses as much as digits as its factorization.

201330134129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 201330134129 in words is "two hundred one billion, three hundred thirty million, one hundred thirty-four thousand, one hundred twenty-nine".