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286880101 is a prime number
BaseRepresentation
bin10001000110010…
…111000101100101
3201222211000111221
4101012113011211
51041420130401
644244500341
710052304064
oct2106270545
9658730457
10286880101
11137a332a2
12800aa6b1
1347586151
142a15a1db
151a2bb7a1
hex11197165

286880101 has 2 divisors, whose sum is σ = 286880102. Its totient is φ = 286880100.

The previous prime is 286880071. The next prime is 286880147. The reversal of 286880101 is 101088682.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 286489476 + 390625 = 16926^2 + 625^2 .

It is a cyclic number.

It is not a de Polignac number, because 286880101 - 29 = 286879589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (286880171) 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, 143440050 + 143440051.

It is an arithmetic number, because the mean of its divisors is an integer number (143440051).

Almost surely, 2286880101 is an apocalyptic number.

It is an amenable number.

286880101 is a deficient number, since it is larger than the sum of its proper divisors (1).

286880101 is an equidigital number, since it uses as much as digits as its factorization.

286880101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6144, while the sum is 34.

The square root of 286880101 is about 16937.5352693360. The cubic root of 286880101 is about 659.5283598599.

It can be divided in two parts, 28 and 6880101, that added together give a square (6880129 = 26232).

The spelling of 286880101 in words is "two hundred eighty-six million, eight hundred eighty thousand, one hundred one".