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208000088141 is a prime number
BaseRepresentation
bin1100000110110111000…
…1010111100001001101
3201212212212212021022012
43001231301113201031
511401441010310031
6235315351431005
721012302402066
oct3015561274115
9655785767265
10208000088141
118023769989a
123438a985465
13167ca893441
14a0d27ad56d
15562598ab2b
hex306dc5784d

208000088141 has 2 divisors, whose sum is σ = 208000088142. Its totient is φ = 208000088140.

The previous prime is 208000088137. The next prime is 208000088183. The reversal of 208000088141 is 141880000802.

208000088141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 188225822500 + 19774265641 = 433850^2 + 140621^2 .

It is a cyclic number.

It is not a de Polignac number, because 208000088141 - 22 = 208000088137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 208000088098 and 208000088107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (208000082141) 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, 104000044070 + 104000044071.

It is an arithmetic number, because the mean of its divisors is an integer number (104000044071).

Almost surely, 2208000088141 is an apocalyptic number.

It is an amenable number.

208000088141 is a deficient number, since it is larger than the sum of its proper divisors (1).

208000088141 is an equidigital number, since it uses as much as digits as its factorization.

208000088141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4096, while the sum is 32.

Adding to 208000088141 its reverse (141880000802), we get a palindrome (349880088943).

The spelling of 208000088141 in words is "two hundred eight billion, eighty-eight thousand, one hundred forty-one".