Search a number
-
+
210022021200213 = 321737673671508797
BaseRepresentation
bin101111110000001110001111…
…111101111111100101010101
31000112121220112202122012002200
4233300032033331333211111
5210012000044411401323
62022402441245155113
762144406321046035
oct5760161775774525
91015556482565080
10210022021200213
1160a12925782a92
121b67b811b5ba99
139025cb777cb91
1439c11976518c5
15194324c3ec443
hexbf038ff7f955

210022021200213 has 96 divisors (see below), whose sum is σ = 335727784963584. Its totient is φ = 125959021664256.

The previous prime is 210022021200107. The next prime is 210022021200217. The reversal of 210022021200213 is 312002120220012.

210022021200213 is a `hidden beast` number, since 2 + 10 + 0 + 220 + 21 + 200 + 213 = 666.

It is not a de Polignac number, because 210022021200213 - 213 = 210022021192021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210022021200217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138443931 + ... + 139952727.

It is an arithmetic number, because the mean of its divisors is an integer number (3497164426704).

Almost surely, 2210022021200213 is an apocalyptic number.

It is an amenable number.

210022021200213 is a deficient number, since it is larger than the sum of its proper divisors (125705763763371).

210022021200213 is a wasteful number, since it uses less digits than its factorization.

210022021200213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509291 (or 1509288 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 210022021200213 its reverse (312002120220012), we get a palindrome (522024141420225).

The spelling of 210022021200213 in words is "two hundred ten trillion, twenty-two billion, twenty-one million, two hundred thousand, two hundred thirteen".

Divisors: 1 3 9 17 37 51 67 111 153 201 333 367 603 629 1101 1139 1887 2479 3303 3417 5661 6239 7437 10251 13579 18717 22311 24589 40737 42143 56151 73767 122211 126429 221301 230843 379287 418013 692529 909793 1254039 1508797 2077587 2729379 3762117 4526391 8188137 13579173 15466481 25649549 46399443 55825489 76948647 101089399 139198329 167476467 230845941 303268197 502429401 553728499 909804591 949033313 1661185497 1718519783 2847099939 3740307763 4983556491 5155559349 8541299817 9413384483 11220923289 15466678047 20487954463 28240153449 33662769867 37099809433 61463863389 63585231971 84720460347 111299428299 184391590167 190755695913 333898284897 348295225871 572267087739 630696760361 1044885677613 1372692949021 1892090281083 3134657032839 4118078847063 5676270843249 12354236541189 23335780133357 70007340400071 210022021200213