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1201020200001 = 32133446688889
BaseRepresentation
bin10001011110100010011…
…000011110010001000001
311020211001011101122021200
4101132202120132101001
5124134142132400001
62315424023011413
7152525254155036
oct21364230362101
94224034348250
101201020200001
11423393657496
12174923299b69
1389342a7834b
14421b5c1338d
152139455c086
hex117a261e441

1201020200001 has 6 divisors (see below), whose sum is σ = 1734806955570. Its totient is φ = 800680133328.

The previous prime is 1201020199979. The next prime is 1201020200027. The reversal of 1201020200001 is 1000020201021.

It can be written as a sum of positive squares in only one way, i.e., 1077861316401 + 123158883600 = 1038201^2 + 350940^2 .

It is not a de Polignac number, because 1201020200001 - 210 = 1201020198977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 133446688889 = 1201020200001 / (1 + 2 + 0 + 1 + 0 + 2 + 0 + 2 + 0 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (1201020200701) 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 5 ways as a sum of consecutive naturals, for example, 66723344436 + ... + 66723344453.

It is an arithmetic number, because the mean of its divisors is an integer number (289134492595).

Almost surely, 21201020200001 is an apocalyptic number.

It is an amenable number.

1201020200001 is a deficient number, since it is larger than the sum of its proper divisors (533786755569).

1201020200001 is a wasteful number, since it uses less digits than its factorization.

1201020200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133446688895 (or 133446688892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1201020200001 its reverse (1000020201021), we get a palindrome (2201040401022).

The spelling of 1201020200001 in words is "one trillion, two hundred one billion, twenty million, two hundred thousand, one".

Divisors: 1 3 9 133446688889 400340066667 1201020200001