Search a number
-
+
202212210213 = 33133125311311
BaseRepresentation
bin1011110001010011001…
…0010111011000100101
3201022221111221121102000
42330110302113120211
511303112311211323
6232521153235513
720416002266316
oct2742462273045
9638844847360
10202212210213
1178837580502
1233234562b99
13160b77373c0
149b03c1a60d
1553d77a3e43
hex2f14c97625

202212210213 has 96 divisors (see below), whose sum is σ = 339680355840. Its totient is φ = 118141545600.

The previous prime is 202212210209. The next prime is 202212210247. The reversal of 202212210213 is 312012212202.

202212210213 is a `hidden beast` number, since 20 + 221 + 2 + 210 + 213 = 666.

202212210213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202212210213 - 22 = 202212210209 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202212210203) 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 95 ways as a sum of consecutive naturals, for example, 17871828 + ... + 17883138.

It is an arithmetic number, because the mean of its divisors is an integer number (3538337040).

Almost surely, 2202212210213 is an apocalyptic number.

It is an amenable number.

202212210213 is a deficient number, since it is larger than the sum of its proper divisors (137468145627).

202212210213 is a wasteful number, since it uses less digits than its factorization.

202212210213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11448 (or 11411 counting only the distinct ones).

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

Adding to 202212210213 its reverse (312012212202), we get a palindrome (514224422415).

The spelling of 202212210213 in words is "two hundred two billion, two hundred twelve million, two hundred ten thousand, two hundred thirteen".

Divisors: 1 3 9 13 27 31 39 53 93 117 159 279 351 403 477 689 837 961 1209 1431 1643 2067 2883 3627 4929 6201 8649 10881 11311 12493 14787 18603 21359 25947 33933 37479 44361 50933 64077 101799 112437 147043 152799 192231 305397 337311 350641 441129 458397 576693 599483 662129 1051923 1323387 1375191 1798449 1986387 3155769 3970161 4558333 5395347 5959161 7793279 9467307 10869871 13674999 16186041 17877483 18583973 23379837 32609613 41024997 55751919 70139511 97828839 123074991 141308323 167255757 210418533 241591649 293486517 423924969 501767271 576103163 724774947 1271774907 1728309489 2174324841 3815324721 5184928467 6522974523 7489341119 15554785401 22468023357 67404070071 202212210213