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205421400529 is a prime number
BaseRepresentation
bin1011111101010000010…
…0011101000111010001
3201122020011121100220121
42333110010131013101
511331200334304104
6234211433310241
720561351044312
oct2772404350721
9648204540817
10205421400529
117a134030704
123398b265381
13164a9573097
149d2a118609
1555243ba254
hex2fd411d1d1

205421400529 has 2 divisors, whose sum is σ = 205421400530. Its totient is φ = 205421400528.

The previous prime is 205421400479. The next prime is 205421400557. The reversal of 205421400529 is 925004124502.

It is a happy number.

205421400529 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., 201307460929 + 4113939600 = 448673^2 + 64140^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-205421400529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205421400494 and 205421400503.

It is not a weakly prime, because it can be changed into another prime (205421400929) 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, 102710700264 + 102710700265.

It is an arithmetic number, because the mean of its divisors is an integer number (102710700265).

Almost surely, 2205421400529 is an apocalyptic number.

It is an amenable number.

205421400529 is a deficient number, since it is larger than the sum of its proper divisors (1).

205421400529 is an equidigital number, since it uses as much as digits as its factorization.

205421400529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 205421400529 in words is "two hundred five billion, four hundred twenty-one million, four hundred thousand, five hundred twenty-nine".