Search a number
-
+
211112221221 = 3211223531091459
BaseRepresentation
bin1100010010011101000…
…1001101101000100101
3202011220202220000022100
43010213101031220211
511424324212034341
6240552243322313
721152362162266
oct3044721155045
9664822800270
10211112221221
1181594388500
1234ab9080399
1316ba5578bc5
14a309c4496d
155758cce3b6
hex312744da25

211112221221 has 144 divisors (see below), whose sum is σ = 359869910400. Its totient is φ = 118891618560.

The previous prime is 211112221211. The next prime is 211112221249. The reversal of 211112221221 is 122122211112.

211112221221 is a `hidden beast` number, since 211 + 1 + 12 + 221 + 221 = 666.

It is not a de Polignac number, because 211112221221 - 26 = 211112221157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211112221194 and 211112221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211112221211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 144695790 + ... + 144697248.

It is an arithmetic number, because the mean of its divisors is an integer number (2499096600).

Almost surely, 2211112221221 is an apocalyptic number.

It is an amenable number.

211112221221 is a deficient number, since it is larger than the sum of its proper divisors (148757689179).

211112221221 is a wasteful number, since it uses less digits than its factorization.

211112221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1658 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

Adding to 211112221221 its reverse (122122211112), we get a palindrome (333234432333).

The spelling of 211112221221 in words is "two hundred eleven billion, one hundred twelve million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 11 23 33 53 69 99 109 121 159 207 253 327 363 477 583 759 981 1089 1199 1219 1459 1749 2277 2507 2783 3597 3657 4377 5247 5777 6413 7521 8349 10791 10971 13131 13189 13409 16049 17331 19239 22563 25047 27577 33557 39567 40227 48147 51993 57717 63547 77327 82731 100671 118701 120681 132871 144441 147499 159031 176539 190641 231981 248193 302013 303347 369127 398613 442497 477093 529617 571923 695943 699017 850597 910041 1107381 1195839 1327491 1431279 1461581 1588851 1749341 1778521 2097051 2551791 2730123 3322143 3657713 4060397 4384743 5248023 5335563 6291153 7655373 8428643 9356567 10973139 12181191 13154229 15744069 16006689 16077391 19242751 19563731 25285929 28069701 32919417 36543573 40234843 48232173 57728253 58691193 75857787 84209103 92715073 120704529 144696519 173184759 176073579 193858789 215201041 278145219 362113587 442583273 581576367 645603123 834435657 1019865803 1327749819 1744729101 1936809369 2132446679 3059597409 3983249457 6397340037 9178792227 19192020111 23456913469 70370740407 211112221221