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212114321 = 1753397593
BaseRepresentation
bin11001010010010…
…01101110010001
3112210010112010222
430221021232101
5413300124241
633014202425
75153641046
oct1451115621
9483115128
10212114321
11a98076a1
125b053415
1334c39343
14202571cd
151394da4b
hexca49b91

212114321 has 16 divisors (see below), whose sum is σ = 229792464. Its totient is φ = 195047424.

The previous prime is 212114317. The next prime is 212114333. The reversal of 212114321 is 123411212.

It can be written as a sum of positive squares in 8 ways, for example, as 33223696 + 178890625 = 5764^2 + 13375^2 .

It is a cyclic number.

It is not a de Polignac number, because 212114321 - 22 = 212114317 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

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 212114321.

It is not an unprimeable number, because it can be changed into a prime (212114341) 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 15 ways as a sum of consecutive naturals, for example, 357401 + ... + 357993.

It is an arithmetic number, because the mean of its divisors is an integer number (14362029).

Almost surely, 2212114321 is an apocalyptic number.

It is an amenable number.

212114321 is a deficient number, since it is larger than the sum of its proper divisors (17678143).

212114321 is a wasteful number, since it uses less digits than its factorization.

212114321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060.

The product of its digits is 96, while the sum is 17.

The square root of 212114321 is about 14564.1450487147. The cubic root of 212114321 is about 596.3803566215.

Adding to 212114321 its reverse (123411212), we get a palindrome (335525533).

The spelling of 212114321 in words is "two hundred twelve million, one hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 17 53 397 593 901 6749 10081 21041 31429 235421 357697 534293 4002157 12477313 212114321