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1001001120201 = 3425748085753
BaseRepresentation
bin11101001000100000101…
…00001111000111001001
310112200202111012121020000
432210100110033013021
5112400022241321301
62043504211553213
7132214512063555
oct16442024170711
93480674177200
101001001120201
11356582044365
121420012bb809
1373517808864
143663d3a6865
151b0895b9786
hexe91050f1c9

1001001120201 has 20 divisors (see below), whose sum is σ = 1501141068372. Its totient is φ = 664737435648.

The previous prime is 1001001120193. The next prime is 1001001120233. The reversal of 1001001120201 is 1020211001001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 722508500025 + 278492620176 = 850005^2 + 527724^2 .

It is not a de Polignac number, because 1001001120201 - 23 = 1001001120193 is a prime.

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 (1001001120001) 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 19 ways as a sum of consecutive naturals, for example, 24022060 + ... + 24063693.

Almost surely, 21001001120201 is an apocalyptic number.

It is an amenable number.

1001001120201 is a deficient number, since it is larger than the sum of its proper divisors (500139948171).

1001001120201 is an equidigital number, since it uses as much as digits as its factorization.

1001001120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48086022 (or 48086013 counting only the distinct ones).

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

Adding to 1001001120201 its reverse (1020211001001), we get a palindrome (2021212121202).

The spelling of 1001001120201 in words is "one trillion, one billion, one million, one hundred twenty thousand, two hundred one".

Divisors: 1 3 9 27 81 257 771 2313 6939 20817 48085753 144257259 432771777 1298315331 3894945993 12358038521 37074115563 111222346689 333667040067 1001001120201