Search a number
-
+
11020011020 = 22519291019901
BaseRepresentation
bin10100100001101100…
…00000011000001100
31001110000002120012022
422100312000120030
5140032110323040
65021301025312
7540041356004
oct122066003014
931400076168
1011020011020
114745566427
1221766b5238
131068112aa5
147677dd004
154476e36b5
hex290d8060c

11020011020 has 96 divisors (see below), whose sum is σ = 25452100800. Its totient is φ = 3991680000.

The previous prime is 11020011019. The next prime is 11020011053. The reversal of 11020011020 is 2011002011.

It is a junction number, because it is equal to n+sod(n) for n = 11020010989 and 11020011007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1108070 + ... + 1117970.

It is an arithmetic number, because the mean of its divisors is an integer number (265126050).

Almost surely, 211020011020 is an apocalyptic number.

11020011020 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 11020011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12726050400).

11020011020 is an abundant number, since it is smaller than the sum of its proper divisors (14432089780).

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

11020011020 is a wasteful number, since it uses less digits than its factorization.

11020011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10059 (or 10057 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11020011020 its reverse (2011002011), we get a palindrome (13031013031).

Subtracting from 11020011020 its reverse (2011002011), we obtain a palindrome (9009009009).

The spelling of 11020011020 in words is "eleven billion, twenty million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 19 20 29 38 58 76 95 101 116 145 190 202 290 380 404 505 551 580 1010 1102 1919 2020 2204 2755 2929 3838 5510 5858 7676 9595 9901 11020 11716 14645 19190 19802 29290 38380 39604 49505 55651 58580 99010 111302 188119 198020 222604 278255 287129 376238 556510 574258 752476 940595 1000001 1113020 1148516 1435645 1881190 2000002 2871290 3762380 4000004 5000005 5455451 5742580 10000010 10910902 19000019 20000020 21821804 27277255 29000029 38000038 54554510 58000058 76000076 95000095 109109020 116000116 145000145 190000190 290000290 380000380 551000551 580000580 1102001102 2204002204 2755002755 5510005510 11020011020