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2002020201 = 32418960961
BaseRepresentation
bin111011101010100…
…0110011101101001
312011112011011102100
41313111012131221
513100004121301
6530354124013
7100416614406
oct16725063551
95145134370
102002020201
119380a7455
1247a580609
1325ba03a4c
1414dc632ad
15bab61286
hex77546769

2002020201 has 24 divisors (see below), whose sum is σ = 2995672680. Its totient is φ = 1287475200.

The previous prime is 2002020199. The next prime is 2002020217. The reversal of 2002020201 is 1020202002.

It can be written as a sum of positive squares in 4 ways, for example, as 327573801 + 1674446400 = 18099^2 + 40920^2 .

It is not a de Polignac number, because 2002020201 - 21 = 2002020199 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 (2002020221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2361 + ... + 63321.

It is an arithmetic number, because the mean of its divisors is an integer number (124819695).

Almost surely, 22002020201 is an apocalyptic number.

It is an amenable number.

2002020201 is a deficient number, since it is larger than the sum of its proper divisors (993652479).

2002020201 is a wasteful number, since it uses less digits than its factorization.

2002020201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61097 (or 61094 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2002020201 is about 44743.9403830284. The cubic root of 2002020201 is about 1260.3451227690.

Adding to 2002020201 its reverse (1020202002), we get a palindrome (3022222203).

The spelling of 2002020201 in words is "two billion, two million, twenty thousand, two hundred one".

Divisors: 1 3 9 41 89 123 267 369 801 3649 10947 32841 60961 182883 548649 2499401 5425529 7498203 16276587 22494609 48829761 222446689 667340067 2002020201