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11201121020 = 2252772021863
BaseRepresentation
bin10100110111010001…
…11000101011111100
31001220121212220102002
422123220320223330
5140414441333040
65051250521432
7544400646335
oct123350705374
931817786362
1011201121020
114828817011
122207296278
1310967b4c7b
147838a528c
1545856aa15
hex29ba38afc

11201121020 has 24 divisors (see below), whose sum is σ = 23607284064. Its totient is φ = 4464271296.

The previous prime is 11201121017. The next prime is 11201121023. The reversal of 11201121020 is 2012110211.

It is an interprime number because it is at equal distance from previous prime (11201121017) and next prime (11201121023).

It is a super-2 number, since 2×112011210202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11201120992 and 11201121010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201121023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1005392 + ... + 1016471.

It is an arithmetic number, because the mean of its divisors is an integer number (983636836).

Almost surely, 211201121020 is an apocalyptic number.

11201121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201121020 is an abundant number, since it is smaller than the sum of its proper divisors (12406163044).

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

11201121020 is a wasteful number, since it uses less digits than its factorization.

11201121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022149 (or 2022147 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 11201121020 its reverse (2012110211), we get a palindrome (13213231231).

The spelling of 11201121020 in words is "eleven billion, two hundred one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 277 554 1108 1385 2770 5540 2021863 4043726 8087452 10109315 20218630 40437260 560056051 1120112102 2240224204 2800280255 5600560510 11201121020