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11020201020 = 22325193222281
BaseRepresentation
bin10100100001101101…
…01110110000111100
31001110000110012211100
422100312232300330
5140032132413040
65021305053100
7540043106643
oct122066566074
931400405740
1011020201020
114745686154
122176787190
13106817b40a
1476784c35a
1544772eb30
hex290daec3c

11020201020 has 72 divisors (see below), whose sum is σ = 35187319440. Its totient is φ = 2784049920.

The previous prime is 11020200973. The next prime is 11020201021. The reversal of 11020201020 is 2010202011.

11020201020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11020200993 and 11020201011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11020201021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1607721 + ... + 1614560.

It is an arithmetic number, because the mean of its divisors is an integer number (488712770).

Almost surely, 211020201020 is an apocalyptic number.

11020201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11020201020 is an abundant number, since it is smaller than the sum of its proper divisors (24167118420).

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

11020201020 is a wasteful number, since it uses less digits than its factorization.

11020201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222315 (or 3222310 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11020201020 its reverse (2010202011), we get a palindrome (13030403031).

Subtracting from 11020201020 its reverse (2010202011), we obtain a palindrome (9009999009).

The spelling of 11020201020 in words is "eleven billion, twenty million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 3222281 6444562 9666843 12889124 16111405 19333686 29000529 32222810 38667372 48334215 58001058 61223339 64445620 96668430 116002116 122446678 145002645 183670017 193336860 244893356 290005290 306116695 367340034 551010051 580010580 612233390 734680068 918350085 1102020102 1224466780 1836700170 2204040204 2755050255 3673400340 5510100510 11020201020