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11220010110 = 2335315632381
BaseRepresentation
bin10100111001100001…
…11100010001111110
31001221221102120101000
422130300330101332
5140434310310420
65053203431130
7545020340511
oct123460742176
931857376330
1011220010110
114838448731
1222116854a6
13109a69984a
147861c0d78
1545a04c690
hex29cc3c47e

11220010110 has 128 divisors (see below), whose sum is σ = 30953041920. Its totient is φ = 2889129600.

The previous prime is 11220010027. The next prime is 11220010163. The reversal of 11220010110 is 1101002211.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11220010092 and 11220010101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4711120 + ... + 4713500.

It is an arithmetic number, because the mean of its divisors is an integer number (241820640).

Almost surely, 211220010110 is an apocalyptic number.

11220010110 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 11220010110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15476520960).

11220010110 is an abundant number, since it is smaller than the sum of its proper divisors (19733031810).

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

11220010110 is a wasteful number, since it uses less digits than its factorization.

11220010110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991 (or 2985 counting only the distinct ones).

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

Adding to 11220010110 its reverse (1101002211), we get a palindrome (12321012321).

The spelling of 11220010110 in words is "eleven billion, two hundred twenty million, ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 563 837 930 1126 1395 1674 1689 2381 2790 2815 3378 4185 4762 5067 5630 7143 8370 8445 10134 11905 14286 15201 16890 17453 21429 23810 25335 30402 34906 35715 42858 50670 52359 64287 71430 73811 76005 87265 104718 107145 128574 147622 152010 157077 174530 214290 221433 261795 314154 321435 369055 442866 471231 523590 642870 664299 738110 785385 942462 1107165 1328598 1340503 1570770 1992897 2214330 2356155 2681006 3321495 3985794 4021509 4712310 6642990 6702515 8043018 9964485 12064527 13405030 19928970 20107545 24129054 36193581 40215090 41555593 60322635 72387162 83111186 120645270 124666779 180967905 207777965 249333558 361935810 374000337 415555930 623333895 748000674 1122001011 1246667790 1870001685 2244002022 3740003370 5610005055 11220010110