Search a number
-
+
11222020110 = 23571710131123
BaseRepresentation
bin10100111001110001…
…00111000000001110
31001222002012200120110
422130320213000032
5140440314120420
65053314500450
7545043411540
oct123470470016
931862180513
1011222020110
1148395a0894
122212294726
13109ac216b2
14786585690
1545a2e7ee0
hex29ce2700e

11222020110 has 128 divisors (see below), whose sum is σ = 32914750464. Its totient is φ = 2390169600.

The previous prime is 11222020099. The next prime is 11222020111. The reversal of 11222020110 is 1102022211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11222020111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345009 + ... + 376131.

It is an arithmetic number, because the mean of its divisors is an integer number (257146488).

Almost surely, 211222020110 is an apocalyptic number.

11222020110 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 11222020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16457375232).

11222020110 is an abundant number, since it is smaller than the sum of its proper divisors (21692730354).

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

11222020110 is a wasteful number, since it uses less digits than its factorization.

11222020110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31258.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11222020110 its reverse (1102022211), we get a palindrome (12324042321).

The spelling of 11222020110 in words is "eleven billion, two hundred twenty-two million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 101 102 105 119 170 202 210 238 255 303 357 505 510 595 606 707 714 1010 1190 1414 1515 1717 1785 2121 3030 3434 3535 3570 4242 5151 7070 8585 10302 10605 12019 17170 21210 24038 25755 31123 36057 51510 60095 62246 72114 93369 120190 155615 180285 186738 217861 311230 360570 435722 466845 529091 653583 933690 1058182 1089305 1307166 1587273 2178610 2645455 3143423 3174546 3267915 3703637 5290910 6286846 6535830 7407274 7936365 9430269 11110911 15717115 15872730 18518185 18860538 22003961 22221822 31434230 37036370 44007922 47151345 53438191 55554555 66011883 94302690 106876382 110019805 111109110 132023766 160314573 220039610 267190955 320629146 330059415 374067337 534381910 660118830 748134674 801572865 1122202011 1603145730 1870336685 2244404022 3740673370 5611010055 11222020110