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206802121 is a prime number
BaseRepresentation
bin11000101001110…
…00110011001001
3112102010122011211
430110320303021
5410420131441
632304253121
75060534431
oct1424706311
9472118154
10206802121
11a6809549
12593111a1
1333ac9426
141d6732c1
151324ea81
hexc538cc9

206802121 has 2 divisors, whose sum is σ = 206802122. Its totient is φ = 206802120.

The previous prime is 206802083. The next prime is 206802143. The reversal of 206802121 is 121208602.

It is an a-pointer prime, because the next prime (206802143) can be obtained adding 206802121 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181198521 + 25603600 = 13461^2 + 5060^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-206802121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 206802092 and 206802101.

It is not a weakly prime, because it can be changed into another prime (206802151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 103401060 + 103401061.

It is an arithmetic number, because the mean of its divisors is an integer number (103401061).

Almost surely, 2206802121 is an apocalyptic number.

It is an amenable number.

206802121 is a deficient number, since it is larger than the sum of its proper divisors (1).

206802121 is an equidigital number, since it uses as much as digits as its factorization.

206802121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 206802121 is about 14380.6161550888. The cubic root of 206802121 is about 591.3596155752.

It can be divided in two parts, 20680 and 2121, that added together give a square (22801 = 1512).

The spelling of 206802121 in words is "two hundred six million, eight hundred two thousand, one hundred twenty-one".