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201829100201 is a prime number
BaseRepresentation
bin1011101111110111110…
…0111010101010101001
3201021221211001121021022
42323331330322222221
511301321222201301
6232415150022225
720403341021441
oct2737574725251
9637854047238
10201829100201
11786602a1263
12331481a7975
131605625a7a1
149aa8db1121
1553b3d29d1b
hex2efdf3aaa9

201829100201 has 2 divisors, whose sum is σ = 201829100202. Its totient is φ = 201829100200.

The previous prime is 201829100191. The next prime is 201829100227. The reversal of 201829100201 is 102001928102.

It is an a-pointer prime, because the next prime (201829100227) can be obtained adding 201829100201 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183556549225 + 18272550976 = 428435^2 + 135176^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201829100201 is a prime.

It is not a weakly prime, because it can be changed into another prime (201829100801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100914550100 + 100914550101.

It is an arithmetic number, because the mean of its divisors is an integer number (100914550101).

Almost surely, 2201829100201 is an apocalyptic number.

It is an amenable number.

201829100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

201829100201 is an equidigital number, since it uses as much as digits as its factorization.

201829100201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 201829100201 in words is "two hundred one billion, eight hundred twenty-nine million, one hundred thousand, two hundred one".