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213222444201 = 331316726313831
BaseRepresentation
bin1100011010010100001…
…1000100110010101001
3202101100211122110001000
43012211003010302221
511443134421203301
6241541504545213
721255564605004
oct3064503046251
9671324573030
10213222444201
1182477569238
12353a7922209
1317150805c60
14a46a1d253b
15582e1b5786
hex31a50c4ca9

213222444201 has 64 divisors (see below), whose sum is σ = 343547043840. Its totient is φ = 129922781760.

The previous prime is 213222444131. The next prime is 213222444229. The reversal of 213222444201 is 102444222312.

It is a happy number.

213222444201 is a `hidden beast` number, since 2 + 13 + 2 + 2 + 2 + 444 + 201 = 666.

It is not a de Polignac number, because 213222444201 - 221 = 213220347049 is a prime.

It is a super-2 number, since 2×2132224442012 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213222442201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15409356 + ... + 15423186.

It is an arithmetic number, because the mean of its divisors is an integer number (5367922560).

Almost surely, 2213222444201 is an apocalyptic number.

It is an amenable number.

213222444201 is a deficient number, since it is larger than the sum of its proper divisors (130324599639).

213222444201 is a wasteful number, since it uses less digits than its factorization.

213222444201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14283 (or 14277 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 213222444201 its reverse (102444222312), we get a palindrome (315666666513).

The spelling of 213222444201 in words is "two hundred thirteen billion, two hundred twenty-two million, four hundred forty-four thousand, two hundred one".

Divisors: 1 3 9 13 27 39 117 167 263 351 501 789 1503 2171 2367 3419 4509 6513 7101 10257 13831 19539 30771 41493 43921 58617 92313 124479 131763 179803 373437 395289 539409 570973 1185867 1618227 1712919 2309777 3637553 4854681 5138757 6929331 10912659 15416271 20787993 30027101 32737977 47288189 62363979 90081303 98213931 141864567 270243909 425593701 607471351 810731727 1276781103 1822414053 5467242159 7897127563 16401726477 23691382689 71074148067 213222444201