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201338129 is a prime number
BaseRepresentation
bin11000000000000…
…10110100010001
3112000212000222202
430000002310101
5403020310004
631551212545
74663226426
oct1400026421
9460760882
10201338129
11a3717353
1257517155
13329353b5
141ca4dd4d
1512a20b1e
hexc002d11

201338129 has 2 divisors, whose sum is σ = 201338130. Its totient is φ = 201338128.

The previous prime is 201338107. The next prime is 201338171. The reversal of 201338129 is 921833102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201214225 + 123904 = 14185^2 + 352^2 .

It is a cyclic number.

It is not a de Polignac number, because 201338129 - 212 = 201334033 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (201338029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100669064 + 100669065.

It is an arithmetic number, because the mean of its divisors is an integer number (100669065).

Almost surely, 2201338129 is an apocalyptic number.

It is an amenable number.

201338129 is a deficient number, since it is larger than the sum of its proper divisors (1).

201338129 is an equidigital number, since it uses as much as digits as its factorization.

201338129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 201338129 is about 14189.3667582454. The cubic root of 201338129 is about 586.1048873201.

The spelling of 201338129 in words is "two hundred one million, three hundred thirty-eight thousand, one hundred twenty-nine".