Search a number
-
+
11022220110 = 23511592112683
BaseRepresentation
bin10100100001111100…
…11011101101001110
31001110011020210111110
422100332123231032
5140033142020420
65021420232450
7540066216336
oct122076335516
931404223443
1011022220110
114746835120
12217739b726
131068707445
14767c160c6
154479ccee0
hex290f9bb4e

11022220110 has 128 divisors (see below), whose sum is σ = 29497374720. Its totient is φ = 2613340800.

The previous prime is 11022220109. The next prime is 11022220151. The reversal of 11022220110 is 1102222011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4106829 + ... + 4109511.

It is an arithmetic number, because the mean of its divisors is an integer number (230448240).

Almost surely, 211022220110 is an apocalyptic number.

11022220110 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 11022220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14748687360).

11022220110 is an abundant number, since it is smaller than the sum of its proper divisors (18475154610).

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

11022220110 is a wasteful number, since it uses less digits than its factorization.

11022220110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974.

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

Adding to 11022220110 its reverse (1102222011), we get a palindrome (12124442121).

It can be divided in two parts, 11022 and 220110, that added together give a palindrome (231132).

The spelling of 11022220110 in words is "eleven billion, twenty-two million, two hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 59 66 110 118 165 177 211 295 330 354 422 590 633 649 885 1055 1266 1298 1770 1947 2110 2321 2683 3165 3245 3894 4642 5366 6330 6490 6963 8049 9735 11605 12449 13415 13926 16098 19470 23210 24898 26830 29513 34815 37347 40245 59026 62245 69630 74694 80490 88539 124490 136939 147565 158297 177078 186735 273878 295130 316594 373470 410817 442695 474891 566113 684695 791485 821634 885390 949782 1132226 1369390 1582970 1698339 1741267 2054085 2374455 2830565 3396678 3482534 4108170 4748910 5223801 5661130 6227243 8491695 8706335 10447602 12454486 16983390 17412670 18681729 26119005 31136215 33400667 37363458 52238010 62272430 66801334 93408645 100202001 167003335 186817290 200404002 334006670 367407337 501010005 734814674 1002020010 1102222011 1837036685 2204444022 3674073370 5511110055 11022220110