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212221219977 = 321317331046657
BaseRepresentation
bin1100010110100101011…
…1101101010010001001
3202021210001122222121100
43011221113231102021
511434112113014402
6241254301132013
721222016414644
oct3055127552211
9667701588540
10212221219977
11820033896a8
123516855a009
131702125a7a0
14a3b3246a5b
1557c134171c
hex31695ed489

212221219977 has 24 divisors (see below), whose sum is σ = 330312704904. Its totient is φ = 130522189824.

The previous prime is 212221219963. The next prime is 212221219981. The reversal of 212221219977 is 779912122212.

212221219977 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1187560521 + 211033659456 = 34461^2 + 459384^2 .

It is not a de Polignac number, because 212221219977 - 24 = 212221219961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212221219877) 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 in 23 ways as a sum of consecutive naturals, for example, 320568 + ... + 726089.

It is an arithmetic number, because the mean of its divisors is an integer number (13763029371).

Almost surely, 2212221219977 is an apocalyptic number.

It is an amenable number.

212221219977 is a deficient number, since it is larger than the sum of its proper divisors (118091484927).

212221219977 is a wasteful number, since it uses less digits than its factorization.

212221219977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048409 (or 1048406 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The spelling of 212221219977 in words is "two hundred twelve billion, two hundred twenty-one million, two hundred nineteen thousand, nine hundred seventy-seven".

Divisors: 1 3 9 13 39 117 1733 5199 15597 22529 67587 202761 1046657 3139971 9419913 13606541 40819623 122458869 1813856581 5441569743 16324709229 23580135553 70740406659 212221219977