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11011201020 = 2233522439091
BaseRepresentation
bin10100100000101000…
…11001011111111100
31001102101111222011000
422100110121133330
5140022331413040
65020344130300
7536603443611
oct122024313774
931371458130
1011011201020
114740599336
122173766990
131066349a81
14766588508
15446a53130
hex2905197fc

11011201020 has 96 divisors (see below), whose sum is σ = 34276112640. Its totient is φ = 2934688320.

The previous prime is 11011201013. The next prime is 11011201021. The reversal of 11011201020 is 2010211011.

It is a happy number.

11011201020 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 = 11011200993 and 11011201011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011201021) 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 31 ways as a sum of consecutive naturals, for example, 1206675 + ... + 1215765.

It is an arithmetic number, because the mean of its divisors is an integer number (357042840).

Almost surely, 211011201020 is an apocalyptic number.

11011201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011201020 is an abundant number, since it is smaller than the sum of its proper divisors (23264911620).

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

11011201020 is a wasteful number, since it uses less digits than its factorization.

11011201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11352 (or 11344 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11011201020 its reverse (2010211011), we get a palindrome (13021412031).

Subtracting from 11011201020 its reverse (2010211011), we obtain a palindrome (9000990009).

The spelling of 11011201020 in words is "eleven billion, eleven million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2243 4486 6729 8972 9091 11215 13458 18182 20187 22430 26916 27273 33645 36364 40374 44860 45455 54546 60561 67290 80748 81819 90910 100935 109092 121122 134580 136365 163638 181820 201870 242244 245457 272730 302805 327276 403740 409095 490914 545460 605610 818190 981828 1211220 1227285 1636380 2454570 4909140 20391113 40782226 61173339 81564452 101955565 122346678 183520017 203911130 244693356 305866695 367040034 407822260 550560051 611733390 734080068 917600085 1101120102 1223466780 1835200170 2202240204 2752800255 3670400340 5505600510 11011201020