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11000112220 = 2254159271839
BaseRepresentation
bin10100011111010100…
…00110010001011100
31001101121122121011201
422033222012101130
5140012012042340
65015310325244
7536410261006
oct121752062134
931347577151
1011000112220
114735305139
12216bab9824
131063c66756
14764cdd376
15445ab279a
hex28fa8645c

11000112220 has 96 divisors (see below), whose sum is σ = 24182323200. Its totient is φ = 4199385600.

The previous prime is 11000112217. The next prime is 11000112251. The reversal of 11000112220 is 2221100011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11000112197 and 11000112206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13110561 + ... + 13111399.

It is an arithmetic number, because the mean of its divisors is an integer number (251899200).

Almost surely, 211000112220 is an apocalyptic number.

11000112220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12091161600).

11000112220 is an abundant number, since it is smaller than the sum of its proper divisors (13182210980).

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

11000112220 is a wasteful number, since it uses less digits than its factorization.

11000112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11000112220 its reverse (2221100011), we get a palindrome (13221212231).

It can be divided in two parts, 110001 and 12220, that added together give a palindrome (122221).

The spelling of 11000112220 in words is "eleven billion, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 59 82 118 164 205 236 271 295 410 542 590 820 839 1084 1180 1355 1678 2419 2710 3356 4195 4838 5420 8390 9676 11111 12095 15989 16780 22222 24190 31978 34399 44444 48380 49501 55555 63956 68798 79945 99002 111110 137596 159890 171995 198004 222220 227369 247505 319780 343990 454738 495010 655549 687980 909476 990020 1136845 1311098 2029541 2273690 2622196 3277745 4059082 4547380 6555490 8118164 9322129 10147705 13110980 13414771 18644258 20295410 26829542 37288516 40590820 46610645 53659084 67073855 93221290 134147710 186442580 268295420 550005611 1100011222 2200022444 2750028055 5500056110 11000112220