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212217101 = 281773977
BaseRepresentation
bin11001010011000…
…10110100001101
3112210022202010122
430221202310031
5413311421401
633020314325
75154546515
oct1451426415
9483282118
10212217101
11a9877938
125b0a29a5
1334c74065
1420282845
151396e21b
hexca62d0d

212217101 has 8 divisors (see below), whose sum is σ = 213466104. Its totient is φ = 210972160.

The previous prime is 212217097. The next prime is 212217121. The reversal of 212217101 is 101712212.

It can be written as a sum of positive squares in 4 ways, for example, as 45549001 + 166668100 = 6749^2 + 12910^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212217101 - 22 = 212217097 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212217101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212217121) 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 in 7 ways as a sum of consecutive naturals, for example, 216725 + ... + 217701.

It is an arithmetic number, because the mean of its divisors is an integer number (26683263).

Almost surely, 2212217101 is an apocalyptic number.

It is an amenable number.

212217101 is a deficient number, since it is larger than the sum of its proper divisors (1249003).

212217101 is an equidigital number, since it uses as much as digits as its factorization.

212217101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031.

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 212217101 is about 14567.6731498205. The cubic root of 212217101 is about 596.4766664402.

Adding to 212217101 its reverse (101712212), we get a palindrome (313929313).

It can be divided in two parts, 21 and 2217101, that added together give a palindrome (2217122).

The spelling of 212217101 in words is "two hundred twelve million, two hundred seventeen thousand, one hundred one".

Divisors: 1 281 773 977 217213 274537 755221 212217101