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2042520201 = 32534282013
BaseRepresentation
bin111100110111110…
…0110001010001001
312021100100202222100
41321233212022021
513140341121301
6534402144013
7101421064251
oct17157461211
95240322870
102042520201
11958a49727
12490052009
13267214047
141553a6961
15be4b1286
hex79be6289

2042520201 has 12 divisors (see below), whose sum is σ = 3005973828. Its totient is φ = 1335987744.

The previous prime is 2042520169. The next prime is 2042520203. The reversal of 2042520201 is 1020252402.

2042520201 is a `hidden beast` number, since 20 + 425 + 20 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 726572025 + 1315948176 = 26955^2 + 36276^2 .

It is not a de Polignac number, because 2042520201 - 25 = 2042520169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2042520203) 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 11 ways as a sum of consecutive naturals, for example, 2140530 + ... + 2141483.

It is an arithmetic number, because the mean of its divisors is an integer number (250497819).

Almost surely, 22042520201 is an apocalyptic number.

It is an amenable number.

2042520201 is a deficient number, since it is larger than the sum of its proper divisors (963453627).

2042520201 is a wasteful number, since it uses less digits than its factorization.

2042520201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282072 (or 4282069 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2042520201 is about 45194.2496452812. The cubic root of 2042520201 is about 1268.7871946322.

Adding to 2042520201 its reverse (1020252402), we get a palindrome (3062772603).

The spelling of 2042520201 in words is "two billion, forty-two million, five hundred twenty thousand, two hundred one".

Divisors: 1 3 9 53 159 477 4282013 12846039 38538117 226946689 680840067 2042520201