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11102020001001 = 36149875311677
BaseRepresentation
bin1010000110001110001111…
…1101010101110011101001
31110022100020212021201000000
42201203203331111303221
52423343414110013001
635340110402133213
72224044255655506
oct241434375256351
943270225251000
1011102020001001
1135a0381952726
1212b3790051209
13626bba591857
142a54aa9ba4ad
15143bc7e07a86
hexa18e3f55ce9

11102020001001 has 56 divisors (see below), whose sum is σ = 16760479307400. Its totient is φ = 7350203782656.

The previous prime is 11102020000999. The next prime is 11102020001011. The reversal of 11102020001001 is 10010002020111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3352282693776 + 7749737307225 = 1830924^2 + 2783835^2 .

It is not a de Polignac number, because 11102020001001 - 21 = 11102020000999 is a prime.

It is a super-3 number, since 3×111020200010013 (a number of 40 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11102020001011) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 950753775 + ... + 950765451.

Almost surely, 211102020001001 is an apocalyptic number.

It is an amenable number.

11102020001001 is a deficient number, since it is larger than the sum of its proper divisors (5658459306399).

11102020001001 is an equidigital number, since it uses as much as digits as its factorization.

11102020001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20597 (or 20582 counting only the distinct ones).

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

Adding to 11102020001001 its reverse (10010002020111), we get a palindrome (21112022021112).

The spelling of 11102020001001 in words is "eleven trillion, one hundred two billion, twenty million, one thousand, one".

Divisors: 1 3 9 27 81 149 243 447 729 1341 4023 8753 11677 12069 26259 35031 36207 78777 105093 108621 236331 315279 708993 945837 1304197 1739873 2126979 2837511 3912591 5219619 6380937 8512533 11737773 15658857 35213319 46976571 102208781 105639957 140929713 306626343 316919871 422789139 919879029 950759613 1268367417 2759637087 8278911261 15229108369 24836733783 45687325107 74510201349 137061975321 411185925963 1233557777889 3700673333667 11102020001001