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59200129 is a prime number
BaseRepresentation
bin1110000111010…
…1001010000001
311010101200022101
43201311022001
5110123401004
65512510401
71316123062
oct341651201
9133350271
1059200129
1130464a2a
12179ab401
13c359b81
147c10569
1552e5ba4
hex3875281

59200129 has 2 divisors, whose sum is σ = 59200130. Its totient is φ = 59200128.

The previous prime is 59200109. The next prime is 59200139. The reversal of 59200129 is 92100295.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48650625 + 10549504 = 6975^2 + 3248^2 .

It is a cyclic number.

It is not a de Polignac number, because 59200129 - 29 = 59199617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 59200097 and 59200106.

It is not a weakly prime, because it can be changed into another prime (59200109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29600064 + 29600065.

It is an arithmetic number, because the mean of its divisors is an integer number (29600065).

Almost surely, 259200129 is an apocalyptic number.

It is an amenable number.

59200129 is a deficient number, since it is larger than the sum of its proper divisors (1).

59200129 is an equidigital number, since it uses as much as digits as its factorization.

59200129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 59200129 is about 7694.1620076523. The cubic root of 59200129 is about 389.7393151622.

The spelling of 59200129 in words is "fifty-nine million, two hundred thousand, one hundred twenty-nine".