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222112221002010 = 23451012857994999
BaseRepresentation
bin110010100000001010001000…
…000010000111100100011010
31002010102201110120112222120000
4302200022020002013210122
5213103041312034031020
62104220540134113430
764533035615535453
oct6240121002074432
91063381416488500
10222112221002010
116485429a335a29
1220ab2a054ab876
1396c21284a9a41
143cbc40889c12a
151aa29adeb5090
hexca028808791a

222112221002010 has 160 divisors (see below), whose sum is σ = 603175755600000. Its totient is φ = 58640821430400.

The previous prime is 222112221001999. The next prime is 222112221002053. The reversal of 222112221002010 is 10200122211222.

It is a happy number.

222112221002010 is a `hidden beast` number, since 22 + 211 + 22 + 210 + 0 + 201 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2338000491 + ... + 2338095489.

It is an arithmetic number, because the mean of its divisors is an integer number (3769848472500).

Almost surely, 2222112221002010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222112221002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301587877800000).

222112221002010 is an abundant number, since it is smaller than the sum of its proper divisors (381063534597990).

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

222112221002010 is a wasteful number, since it uses less digits than its factorization.

222112221002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123698 (or 123689 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 222112221002010 its reverse (10200122211222), we get a palindrome (232312343213232).

The spelling of 222112221002010 in words is "two hundred twenty-two trillion, one hundred twelve billion, two hundred twenty-one million, two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 101 135 162 202 270 303 405 505 606 810 909 1010 1515 1818 2727 3030 4545 5454 8181 9090 13635 16362 27270 28579 40905 57158 81810 85737 94999 142895 171474 189998 257211 284997 285790 428685 474995 514422 569994 771633 854991 857370 949990 1286055 1424985 1543266 1709982 2314899 2564973 2572110 2849970 2886479 3858165 4274955 4629798 5129946 5772958 7694919 7716330 8549910 8659437 9594899 11574495 12824865 14432395 15389838 17318874 19189798 23148990 25649730 25978311 28784697 28864790 38474595 43297185 47974495 51956622 57569394 76949190 77934933 86354091 86594370 95948990 129891555 143923485 155869866 172708182 233804799 259062273 259783110 287846970 389674665 431770455 467609598 518124546 777186819 779349330 863540910 1169023995 1295311365 1554373638 2338047990 2590622730 2714976421 3885934095 5429952842 7771868190 8144929263 13574882105 16289858526 24434787789 27149764210 40724646315 48869575578 73304363367 81449292630 122173938945 146608726734 219913090101 244347877890 274212618521 366521816835 439826180202 548425237042 733043633670 822637855563 1099565450505 1371063092605 1645275711126 2199130901010 2467913566689 2742126185210 4113189277815 4935827133378 7403740700067 8226378555630 12339567833445 14807481400134 22211222100201 24679135666890 37018703500335 44422444200402 74037407000670 111056110501005 222112221002010