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11120123322 = 2327119118807
BaseRepresentation
bin10100101101100111…
…11001110110111010
31001200222110210110100
422112303321312322
5140233222421242
65035234500230
7542365326420
oct122663716672
931628423410
1011120123322
114797024270
1221a4134676
131082a95739
14776c1d110
154513bb54c
hex296cf9dba

11120123322 has 96 divisors (see below), whose sum is σ = 30075162624. Its totient is φ = 2884845600.

The previous prime is 11120123309. The next prime is 11120123459. The reversal of 11120123322 is 22332102111.

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 = 11120123295 and 11120123304.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1258243 + ... + 1267049.

It is an arithmetic number, because the mean of its divisors is an integer number (313282944).

Almost surely, 211120123322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11120123322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15037581312).

11120123322 is an abundant number, since it is smaller than the sum of its proper divisors (18955039302).

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

11120123322 is a wasteful number, since it uses less digits than its factorization.

11120123322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9744 (or 9741 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11120123322 its reverse (22332102111), we get a palindrome (33452225433).

The spelling of 11120123322 in words is "eleven billion, one hundred twenty million, one hundred twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 911 1386 1822 2733 5466 6377 8199 8807 10021 12754 16398 17614 19131 20042 26421 30063 38262 52842 57393 60126 61649 70147 79263 90189 96877 114786 123298 140294 158526 180378 184947 193754 210441 290631 369894 420882 554841 581262 631323 678139 871893 1109682 1262646 1356278 1743786 2034417 4068834 6103251 8023177 12206502 16046354 24069531 48139062 56162239 72208593 88254947 112324478 144417186 168486717 176509894 264764841 336973434 505460151 529529682 617784629 794294523 1010920302 1235569258 1588589046 1853353887 3706707774 5560061661 11120123322