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20201000001 = 37133710119801
BaseRepresentation
bin10010110100000100…
…101100110001000001
31221010211202010102020
4102310010230301001
5312332424000001
613140305312053
71313412444510
oct226404546101
957124663366
1020201000001
118626a35326
123ab9335629
131b9c222150
14d98c88677
157d3721736
hex4b412cc41

20201000001 has 64 divisors (see below), whose sum is σ = 34385143296. Its totient is φ = 10264320000.

The previous prime is 20200999919. The next prime is 20201000009. The reversal of 20201000001 is 10000010202.

It is a happy number.

It is not a de Polignac number, because 20201000001 - 213 = 20200991809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20201000009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1010301 + ... + 1030101.

It is an arithmetic number, because the mean of its divisors is an integer number (537267864).

Almost surely, 220201000001 is an apocalyptic number.

20201000001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20201000001 is a deficient number, since it is larger than the sum of its proper divisors (14184143295).

20201000001 is a wasteful number, since it uses less digits than its factorization.

20201000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19962.

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 20201000001 its reverse (10000010202), we get a palindrome (30201010203).

The spelling of 20201000001 in words is "twenty billion, two hundred one million, one", and thus it is an aban number.

Divisors: 1 3 7 13 21 37 39 91 101 111 259 273 303 481 707 777 1313 1443 2121 3367 3737 3939 9191 10101 11211 19801 26159 27573 48581 59403 78477 138607 145743 257413 340067 415821 732637 772239 1020201 1801891 1999901 2197911 5128459 5405673 5999703 9524281 13999307 15385377 25998713 28572843 41997921 66669967 73996337 77996139 181990991 200009901 221989011 517974359 545972973 961952381 1553923077 2885857143 6733666667 20201000001