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218006127 = 338074301
BaseRepresentation
bin11001111111010…
…00001001101111
3120012012212012000
430333220021233
5421302144002
633344343343
75255010243
oct1477501157
9505185160
10218006127
11102071259
1261014b53
1336220011
1420d4c423
151421461c
hexcfe826f

218006127 has 8 divisors (see below), whose sum is σ = 322972080. Its totient is φ = 145337400.

The previous prime is 218006101. The next prime is 218006153. The reversal of 218006127 is 721600812.

It is an interprime number because it is at equal distance from previous prime (218006101) and next prime (218006153).

It is not a de Polignac number, because 218006127 - 210 = 218005103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 8074301 = 218006127 / (2 + 1 + 8 + 0 + 0 + 6 + 1 + 2 + 7).

It is a self number, because there is not a number n which added to its sum of digits gives 218006127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (218006197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4037124 + ... + 4037177.

It is an arithmetic number, because the mean of its divisors is an integer number (40371510).

Almost surely, 2218006127 is an apocalyptic number.

218006127 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

218006127 is a deficient number, since it is larger than the sum of its proper divisors (104965953).

218006127 is an equidigital number, since it uses as much as digits as its factorization.

218006127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8074310 (or 8074304 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 218006127 is about 14765.0305451767. The cubic root of 218006127 is about 601.8518038245.

Adding to 218006127 its reverse (721600812), we get a palindrome (939606939).

The spelling of 218006127 in words is "two hundred eighteen million, six thousand, one hundred twenty-seven".

Divisors: 1 3 9 27 8074301 24222903 72668709 218006127