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212102112222 = 233711133923893
BaseRepresentation
bin1100010110001001000…
…1010110001111011110
3202021110202112200111000
43011202101112033132
511433341120042342
6241234404211130
721216042131010
oct3054221261736
9667422480430
10212102112222
1181a52127240
1235134699aa6
1317002686a20
14a3a14c01b0
1557b5b6544c
hex31624563de

212102112222 has 128 divisors (see below), whose sum is σ = 632845624320. Its totient is φ = 50853640320.

The previous prime is 212102112107. The next prime is 212102112239. The reversal of 212102112222 is 222211201212.

It is a happy number.

212102112222 is a `hidden beast` number, since 21 + 210 + 211 + 2 + 222 = 666.

212102112222 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 212102112195 and 212102112204.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1907893 + ... + 2016000.

It is an arithmetic number, because the mean of its divisors is an integer number (4944106440).

Almost surely, 2212102112222 is an apocalyptic number.

212102112222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

212102112222 is an abundant number, since it is smaller than the sum of its proper divisors (420743512098).

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

212102112222 is a wasteful number, since it uses less digits than its factorization.

212102112222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3923935 (or 3923929 counting only the distinct ones).

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

Adding to 212102112222 its reverse (222211201212), we get a palindrome (434313313434).

The spelling of 212102112222 in words is "two hundred twelve billion, one hundred two million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 63 66 77 78 91 99 117 126 143 154 182 189 198 231 234 273 286 297 351 378 429 462 546 594 693 702 819 858 1001 1287 1386 1638 2002 2079 2457 2574 3003 3861 4158 4914 6006 7722 9009 18018 27027 54054 3923893 7847786 11771679 23543358 27467251 35315037 43162823 51010609 54934502 70630074 82401753 86325646 102021218 105945111 129488469 153031827 164803506 211890222 247205259 258976938 302139761 306063654 357074263 388465407 459095481 494410518 561116699 604279522 714148526 741615777 776930814 906419283 918190962 1071222789 1122233398 1165396221 1377286443 1483231554 1683350097 1812838566 2142445578 2330792442 2719257849 2754572886 3213668367 3366700194 3927816893 5050050291 5438515698 6427336734 7855633786 8157773547 9641005101 10100100582 11783450679 15150150873 16315547094 19282010202 23566901358 30300301746 35350352037 70700704074 106051056111 212102112222