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22221012021012 = 22327296745382717
BaseRepresentation
bin1010000110101101110111…
…00001110010111100010100
32220200022022112102022012200
411003112323201302330110
510403032113034133022
6115132105245444500
74452262251506310
oct503267341627424
986608275368180
1022221012021012
117097972a92442
1225aa6b7b70730
13c525810ca7ac
1456b707670b40
15288045d0bbac
hex1435bb872f14

22221012021012 has 144 divisors (see below), whose sum is σ = 67398782156160. Its totient is φ = 6038442660096.

The previous prime is 22221012021011. The next prime is 22221012021127. The reversal of 22221012021012 is 21012021012222.

It is a happy number.

22221012021012 is a `hidden beast` number, since 222 + 210 + 1 + 20 + 210 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221012021011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22201723 + ... + 23180994.

Almost surely, 222221012021012 is an apocalyptic number.

It is an amenable number.

22221012021012 is an abundant number, since it is smaller than the sum of its proper divisors (45177770135148).

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

22221012021012 is a wasteful number, since it uses less digits than its factorization.

22221012021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45382830 (or 45382825 counting only the distinct ones).

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

Adding to 22221012021012 its reverse (21012021012222), we get a palindrome (43233033033234).

It can be divided in two parts, 222 and 21012021012, that multiplied together give a palindrome (4664668664664).

The spelling of 22221012021012 in words is "twenty-two trillion, two hundred twenty-one billion, twelve million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 67 84 87 116 126 134 174 201 203 252 261 268 348 402 406 469 522 603 609 804 812 938 1044 1206 1218 1407 1827 1876 1943 2412 2436 2814 3654 3886 4221 5628 5829 7308 7772 8442 11658 13601 16884 17487 23316 27202 34974 40803 54404 69948 81606 122409 163212 244818 489636 45382717 90765434 136148151 181530868 272296302 317679019 408444453 544592604 635358038 816888906 953037057 1270716076 1316098793 1633777812 1906074114 2632197586 2859111171 3040642039 3812148228 3948296379 5264395172 5718222342 6081284078 7896592758 9121926117 9212691551 11436444684 11844889137 12162568156 15793185516 18243852234 18425383102 21284494273 23689778274 27365778351 27638074653 36487704468 36850766204 42568988546 47379556548 54731556702 55276149306 63853482819 82914223959 85137977092 88178619131 109463113404 110552298612 127706965638 165828447918 176357238262 191560448457 255413931276 264535857393 331656895836 352714476524 383120896914 529071714786 617250333917 766241793828 793607572179 1058143429572 1234500667834 1587215144358 1851751001751 2469001335668 3174430288716 3703502003502 5555253005253 7407004007004 11110506010506 22221012021012