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11032122222 = 232111710730631
BaseRepresentation
bin10100100011001000…
…01101001101101110
31001110211212212122100
422101210031031232
5140043210402342
65022412355530
7540246330432
oct122144151556
931424785570
1011032122222
114751388790
12217a775ba6
13106a793594
147692729c2
154487d6e4c
hex29190d36e

11032122222 has 96 divisors (see below), whose sum is σ = 27868748544. Its totient is φ = 3116908800.

The previous prime is 11032122217. The next prime is 11032122223. The reversal of 11032122222 is 22222123011.

It is a super-2 number, since 2×110321222222 (a number of 21 digits) contains 22 as substring.

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 = 11032122195 and 11032122204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11032122223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344847 + ... + 375477.

It is an arithmetic number, because the mean of its divisors is an integer number (290299464).

Almost surely, 211032122222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11032122222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13934374272).

11032122222 is an abundant number, since it is smaller than the sum of its proper divisors (16836626322).

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

11032122222 is a wasteful number, since it uses less digits than its factorization.

11032122222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30774 (or 30771 counting only the distinct ones).

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

Adding to 11032122222 its reverse (22222123011), we get a palindrome (33254245233).

The spelling of 11032122222 in words is "eleven billion, thirty-two million, one hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 107 153 187 198 214 306 321 374 561 642 963 1122 1177 1683 1819 1926 2354 3366 3531 3638 5457 7062 10593 10914 16371 20009 21186 30631 32742 40018 60027 61262 91893 120054 180081 183786 275679 336941 360162 520727 551358 673882 1010823 1041454 1562181 2021646 3032469 3124362 3277517 4686543 5727997 6064938 6555034 9373086 9832551 11455994 17183991 19665102 29497653 34367982 36052687 51551973 55717789 58995306 72105374 103103946 108158061 111435578 167153367 216316122 324474183 334306734 501460101 612895679 648948366 1002920202 1225791358 1838687037 3677374074 5516061111 11032122222