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11122111112211 = 351123199909091
BaseRepresentation
bin1010000111011001000101…
…1110110110010000010011
31110101021010001020220100000
42201312101132312100103
52424211040421042321
635353232144301043
72225355165413661
oct241662136662023
943337101226300
1011122111112211
1135a8951851970
1212b7658611783
13628a6caba138
142a645501bc31
151444a1b6e826
hexa1d917b6413

11122111112211 has 96 divisors (see below), whose sum is σ = 19060386508800. Its totient is φ = 6415193584800.

The previous prime is 11122111112171. The next prime is 11122111112239. The reversal of 11122111112211 is 11221111122111.

11122111112211 is a `hidden beast` number, since 111 + 221 + 1 + 111 + 221 + 1 = 666.

It is not a de Polignac number, because 11122111112211 - 219 = 11122110587923 is a prime.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11122118112211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11779776 + ... + 12688866.

It is an arithmetic number, because the mean of its divisors is an integer number (198545692800).

Almost surely, 211122111112211 is an apocalyptic number.

11122111112211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11122111112211 is a deficient number, since it is larger than the sum of its proper divisors (7938275396589).

11122111112211 is a wasteful number, since it uses less digits than its factorization.

11122111112211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909339 (or 909327 counting only the distinct ones).

The product of its digits is 16, while the sum is 18.

Adding to 11122111112211 its reverse (11221111122111), we get a palindrome (22343222234322).

The spelling of 11122111112211 in words is "eleven trillion, one hundred twenty-two billion, one hundred eleven million, one hundred twelve thousand, two hundred eleven".

Divisors: 1 3 9 11 23 27 33 69 81 99 199 207 243 253 297 597 621 759 891 1791 1863 2189 2277 2673 4577 5373 5589 6567 6831 13731 16119 19701 20493 41193 48357 50347 59103 61479 123579 151041 177309 370737 453123 531927 909091 1112211 1359369 2727273 4078107 8181819 10000001 12234321 20909093 24545457 30000003 62727279 73636371 90000009 180909109 188181837 220909113 230000023 270000027 542727327 564545511 690000069 810000081 1628181981 1693636533 1990000199 2070000207 2430000243 4160909507 4884545943 5080909599 5970000597 6210000621 12482728521 14653637829 17910001791 18630001863 37448185563 43960913487 45770004577 53730005373 55890005589 112344556689 137310013731 161190016119 337033670067 411930041193 483570048357 1011101010201 1235790123579 3707370370737 11122111112211