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11000221110 = 2325178980783
BaseRepresentation
bin10100011111010101…
…00000110110110110
31001101121212010112200
422033222200312312
5140012024033420
65015312525330
7536411223324
oct121752406666
931347763480
1011000221110
114735379a2a
12216bb50846
131063ca4198
14764d2ad14
15445ad4b90
hex28faa0db6

11000221110 has 96 divisors (see below), whose sum is σ = 30623598720. Its totient is φ = 2729785344.

The previous prime is 11000221051. The next prime is 11000221117. The reversal of 11000221110 is 1112200011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11000221092 and 11000221101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000221117) 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, 95779 + ... + 176561.

It is an arithmetic number, because the mean of its divisors is an integer number (318995820).

Almost surely, 211000221110 is an apocalyptic number.

11000221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000221110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15311799360).

11000221110 is an abundant number, since it is smaller than the sum of its proper divisors (19623377610).

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

11000221110 is a wasteful number, since it uses less digits than its factorization.

11000221110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80902 (or 80899 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11000221110 its reverse (1112200011), we get a palindrome (12112421121).

The spelling of 11000221110 in words is "eleven billion, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 89 90 102 153 170 178 255 267 306 445 510 534 765 801 890 1335 1513 1530 1602 2670 3026 4005 4539 7565 8010 9078 13617 15130 22695 27234 45390 68085 80783 136170 161566 242349 403915 484698 727047 807830 1211745 1373311 1454094 2423490 2746622 3635235 4119933 6866555 7189687 7270470 8239866 12359799 13733110 14379374 20599665 21569061 24719598 35948435 41199330 43138122 61798995 64707183 71896870 107845305 122224679 123597990 129414366 215690610 244449358 323535915 366674037 611123395 647071830 733348074 1100022111 1222246790 1833370185 2200044222 3666740370 5500110555 11000221110