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205286400029 is a prime number
BaseRepresentation
bin1011111100110000000…
…1011110000000011101
3201121212202120122001002
42333030001132000131
511330411304300104
6234150212000045
720555121415664
oct2771401360035
9647782518032
10205286400029
117a074903847
1233952000025
13164875c6529
149d16215ddb
15551760001e
hex2fcc05e01d

205286400029 has 2 divisors, whose sum is σ = 205286400030. Its totient is φ = 205286400028.

The previous prime is 205286399999. The next prime is 205286400041. The reversal of 205286400029 is 920004682502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171087295129 + 34199104900 = 413627^2 + 184930^2 .

It is a cyclic number.

It is not a de Polignac number, because 205286400029 - 224 = 205269622813 is a prime.

It is a super-2 number, since 2×2052864000292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205286399965 and 205286400001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205286400229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102643200014 + 102643200015.

It is an arithmetic number, because the mean of its divisors is an integer number (102643200015).

Almost surely, 2205286400029 is an apocalyptic number.

It is an amenable number.

205286400029 is a deficient number, since it is larger than the sum of its proper divisors (1).

205286400029 is an equidigital number, since it uses as much as digits as its factorization.

205286400029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 205286400029 in words is "two hundred five billion, two hundred eighty-six million, four hundred thousand, twenty-nine".