Search a number
-
+
11020122120 = 23357101129893
BaseRepresentation
bin10100100001101100…
…11011100000001000
31001110000022012121010
422100312123200020
5140032122401440
65021303243520
7540042330630
oct122066334010
931400265533
1011020122120
114745631947
1221767495a0
131068151527
1476782b6c0
15447716580
hex290d9b808

11020122120 has 128 divisors (see below), whose sum is σ = 38157661440. Its totient is φ = 2493926400.

The previous prime is 11020122107. The next prime is 11020122161. The reversal of 11020122120 is 2122102011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11020122096 and 11020122105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19894 + ... + 149786.

It is an arithmetic number, because the mean of its divisors is an integer number (298106730).

Almost surely, 211020122120 is an apocalyptic number.

11020122120 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 11020122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19078830720).

11020122120 is an abundant number, since it is smaller than the sum of its proper divisors (27137539320).

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

11020122120 is a wasteful number, since it uses less digits than its factorization.

11020122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130015 (or 130011 counting only the distinct ones).

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

Adding to 11020122120 its reverse (2122102011), we get a palindrome (13142224131).

The spelling of 11020122120 in words is "eleven billion, twenty million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 101 105 120 140 168 202 210 280 303 404 420 505 606 707 808 840 1010 1212 1414 1515 2020 2121 2424 2828 3030 3535 4040 4242 5656 6060 7070 8484 10605 12120 14140 16968 21210 28280 42420 84840 129893 259786 389679 519572 649465 779358 909251 1039144 1298930 1558716 1818502 1948395 2597860 2727753 3117432 3637004 3896790 4546255 5195720 5455506 7274008 7793580 9092510 10911012 13119193 13638765 15587160 18185020 21822024 26238386 27277530 36370040 39357579 52476772 54555060 65595965 78715158 91834351 104953544 109110120 131191930 157430316 183668702 196787895 262383860 275503053 314860632 367337404 393575790 459171755 524767720 551006106 734674808 787151580 918343510 1102012212 1377515265 1574303160 1836687020 2204024424 2755030530 3673374040 5510061060 11020122120