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11022232221 = 3471113210457
BaseRepresentation
bin10100100001111100…
…11110101010011101
31001110011021102010000
422100332132222131
5140033142412341
65021420404513
7540066266550
oct122076365235
931404242100
1011022232221
114746843230
1221773a6739
13106870cb00
14767c1a697
154479d18b6
hex290f9ea9d

11022232221 has 120 divisors (see below), whose sum is σ = 22230863424. Its totient is φ = 5284880640.

The previous prime is 11022232163. The next prime is 11022232223. The reversal of 11022232221 is 12223222011.

It is not a de Polignac number, because 11022232221 - 225 = 10988677789 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11022232194 and 11022232203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022232223) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 1048825 + ... + 1059281.

Almost surely, 211022232221 is an apocalyptic number.

11022232221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11022232221 is an abundant number, since it is smaller than the sum of its proper divisors (11208631203).

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

11022232221 is a wasteful number, since it uses less digits than its factorization.

11022232221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10513 (or 10491 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11022232221 its reverse (12223222011), we get a palindrome (23245454232).

The spelling of 11022232221 in words is "eleven billion, twenty-two million, two hundred thirty-two thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 81 91 99 117 143 169 189 231 273 297 351 429 507 567 693 819 891 1001 1053 1183 1287 1521 1859 2079 2457 3003 3549 3861 4563 5577 6237 7371 9009 10457 10647 11583 13013 13689 16731 27027 31371 31941 39039 50193 73199 81081 94113 95823 115027 117117 135941 150579 219597 282339 345081 351351 407823 658791 805189 847017 951587 1035243 1054053 1223469 1495351 1767233 1976373 2415567 2854761 3105729 3670407 4486053 5301699 5929119 7246701 8564283 9317187 10467457 11011221 12370631 13458159 15905097 19439563 21740103 25692849 31402371 37111893 40374477 47715291 58318689 65220309 77078547 94207113 111335679 121123431 136076941 143145873 174956067 282621339 334007037 408230823 524868201 847864017 1002021111 1224692469 1574604603 3674077407 11022232221