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205623282049 is a prime number
BaseRepresentation
bin1011111110000000011…
…0100100100110000001
3201122202020111000021221
42333200012210212001
511332104030011144
6234243444315041
720566352026213
oct2774006444601
9648666430257
10205623282049
117a227a89239
1233a269a2a81
131650c3388c3
149d48c6a5b3
155536e96d84
hex2fe01a4981

205623282049 has 2 divisors, whose sum is σ = 205623282050. Its totient is φ = 205623282048.

The previous prime is 205623282017. The next prime is 205623282079. The reversal of 205623282049 is 940282326502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 167307177024 + 38316105025 = 409032^2 + 195745^2 .

It is a cyclic number.

It is not a de Polignac number, because 205623282049 - 25 = 205623282017 is a prime.

It is a super-3 number, since 3×2056232820493 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 205623281996 and 205623282014.

It is not a weakly prime, because it can be changed into another prime (205623282079) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102811641024 + 102811641025.

It is an arithmetic number, because the mean of its divisors is an integer number (102811641025).

Almost surely, 2205623282049 is an apocalyptic number.

It is an amenable number.

205623282049 is a deficient number, since it is larger than the sum of its proper divisors (1).

205623282049 is an equidigital number, since it uses as much as digits as its factorization.

205623282049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 205623282049 in words is "two hundred five billion, six hundred twenty-three million, two hundred eighty-two thousand, forty-nine".