Search a number
-
+
21012212220112 = 24171511633179901
BaseRepresentation
bin1001100011100010010010…
…11100100000000011010000
32202101202012012022222202101
410301301021130200003100
510223231002312020422
6112404513234530144
74266040130646121
oct461611134400320
982352165288671
1021012212220112
116771258013723
122434383436954
13b9559b689609
14528dd4566048
152668987dcc27
hex131c497200d0

21012212220112 has 160 divisors (see below), whose sum is σ = 43799754564864. Its totient is φ = 9730575360000.

The previous prime is 21012212220107. The next prime is 21012212220157. The reversal of 21012212220112 is 21102221221012.

It is a super-3 number, since 3×210122122201123 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21012212220112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2122226362 + ... + 2122236262.

Almost surely, 221012212220112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21012212220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21899877282432).

21012212220112 is an abundant number, since it is smaller than the sum of its proper divisors (22787542344752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21012212220112 is a wasteful number, since it uses less digits than its factorization.

21012212220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10557 (or 10551 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 21012212220112 its reverse (21102221221012), we get a palindrome (42114433441124).

The spelling of 21012212220112 in words is "twenty-one trillion, twelve billion, two hundred twelve million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 68 136 151 163 272 302 317 326 604 634 652 1208 1268 1304 2416 2536 2567 2608 2771 5072 5134 5389 5542 9901 10268 10778 11084 19802 20536 21556 22168 24613 39604 41072 43112 44336 47867 49226 51671 79208 86224 95734 98452 103342 158416 168317 191468 196904 206684 336634 382936 393808 413368 418421 673268 765872 813739 826736 836842 878407 1346536 1495051 1613863 1627478 1673684 1756814 2693072 2990102 3138617 3227726 3254956 3347368 3513628 5980204 6277234 6455452 6509912 6694736 7027256 7802321 11960408 12554468 12910904 13019824 14054512 15604642 23920816 25108936 25415867 25821808 27435671 31209284 50217872 50831734 53356489 54871342 62418568 101663468 106712978 109742684 124837136 132639457 203326936 213425956 219485368 243693313 265278914 406653872 426851912 438970736 473931167 487386626 511594571 530557828 853703824 947862334 974773252 1023189142 1061115656 1895724668 1949546504 2046378284 2122231312 3791449336 3899093008 4092756568 4142786321 7582898672 8056829839 8185513136 8285572642 8697107707 16113659678 16571145284 17394215414 32227319356 33142290568 34788430828 64454638712 66284581136 69576861656 77250780221 128909277424 139153723312 154501560442 309003120884 618006241768 1236012483536 1313263263757 2626526527514 5253053055028 10506106110056 21012212220112