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11020110120 = 23325137223441
BaseRepresentation
bin10100100001101100…
…11000100100101000
31001110000021121010200
422100312120210220
5140032122010440
65021303112200
7540042250635
oct122066304450
931400247120
1011020110120
114745623928
122176742660
131068148c26
1476782718c
15447712c30
hex290d98928

11020110120 has 96 divisors (see below), whose sum is σ = 36076945320. Its totient is φ = 2917232640.

The previous prime is 11020110109. The next prime is 11020110161. The reversal of 11020110120 is 2101102011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10883079684 + 137030436 = 104322^2 + 11706^2 .

It is a super-3 number, since 3×110201101203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 23 ways as a sum of consecutive naturals, for example, 62401 + ... + 161040.

Almost surely, 211020110120 is an apocalyptic number.

11020110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11020110120 is an abundant number, since it is smaller than the sum of its proper divisors (25056835200).

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

11020110120 is a wasteful number, since it uses less digits than its factorization.

11020110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223595 (or 223588 counting only the distinct ones).

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

Adding to 11020110120 its reverse (2101102011), we get a palindrome (13121212131).

The spelling of 11020110120 in words is "eleven billion, twenty million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 137 180 274 360 411 548 685 822 1096 1233 1370 1644 2055 2466 2740 3288 4110 4932 5480 6165 8220 9864 12330 16440 24660 49320 223441 446882 670323 893764 1117205 1340646 1787528 2010969 2234410 2681292 3351615 4021938 4468820 5362584 6703230 8043876 8937640 10054845 13406460 16087752 20109690 26812920 30611417 40219380 61222834 80438760 91834251 122445668 153057085 183668502 244891336 275502753 306114170 367337004 459171255 551005506 612228340 734674008 918342510 1102011012 1224456680 1377513765 1836685020 2204022024 2755027530 3673370040 5510055060 11020110120