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11211102212121 = 3272176794123719
BaseRepresentation
bin1010001100100100100111…
…0000111101000000011001
31110200202210222201011201100
42203021021300331000121
52432140314131241441
635502150444342013
72234655364320600
oct243111160750031
943622728634640
1011211102212121
113632668a20429
121310953544909
136342828a71c6
142aa897d32a37
1514695e65ccb6
hexa3249c3d019

11211102212121 has 144 divisors (see below), whose sum is σ = 20265868172160. Its totient is φ = 5932945751040.

The previous prime is 11211102212113. The next prime is 11211102212147. The reversal of 11211102212121 is 12121220111211.

It is a happy number.

11211102212121 is a `hidden beast` number, since 1 + 121 + 110 + 221 + 212 + 1 = 666.

It is not a de Polignac number, because 11211102212121 - 23 = 11211102212113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11211102212094 and 11211102212103.

It is not an unprimeable number, because it can be changed into a prime (11211102212221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 472651500 + ... + 472675218.

It is an arithmetic number, because the mean of its divisors is an integer number (140735195640).

Almost surely, 211211102212121 is an apocalyptic number.

It is an amenable number.

11211102212121 is a deficient number, since it is larger than the sum of its proper divisors (9054765960039).

11211102212121 is a wasteful number, since it uses less digits than its factorization.

11211102212121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24764 (or 24754 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11211102212121 its reverse (12121220111211), we get a palindrome (23332322323332).

The spelling of 11211102212121 in words is "eleven trillion, two hundred eleven billion, one hundred two million, two hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 7 9 17 21 49 51 63 67 119 147 153 201 357 441 469 603 833 941 1071 1139 1407 2499 2823 3283 3417 4221 6587 7497 7973 8469 9849 10251 15997 19761 23719 23919 29547 46109 47991 55811 59283 63047 71157 71757 111979 138327 143973 166033 167433 189141 213471 335937 403223 414981 441329 498099 502299 567423 783853 1007811 1071799 1162231 1209669 1323987 1494297 1589173 2351559 2822561 3089303 3215397 3486693 3629007 3971961 4767519 7054677 7502593 8467683 9267909 9646191 10460079 11124211 14302557 19757927 22319579 22507779 25403049 27015941 27803727 33372633 52518151 59273781 66958737 67523337 77869477 81047823 100117899 156237053 157554453 177821343 189111587 200876211 233608431 243143469 379432843 468711159 472663359 567334761 700825293 1093659371 1138298529 1323781109 1406133477 1495411793 1702004283 2656029901 3280978113 3414895587 3971343327 4486235379 7968089703 9842934339 10467882551 11914029981 13458706137 18592209307 23904269109 25422000481 31403647653 55776627921 73275177857 76266001443 94210942959 167329883763 177954003367 219825533571 228798004329 533862010101 659476600713 1245678023569 1601586030303 3737034070707 11211102212121