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20121000201 = 322235666689
BaseRepresentation
bin10010101111010011…
…100001100100001001
31220221021012201022200
4102233103201210021
5312201434001301
613124330510413
71311421452111
oct225723414411
956837181280
1020121000201
118595864295
123a96595409
131b88791ba3
14d8c3c2041
157cb6bcc86
hex4af4e1909

20121000201 has 6 divisors (see below), whose sum is σ = 29063666970. Its totient is φ = 13414000128.

The previous prime is 20121000161. The next prime is 20121000257. The reversal of 20121000201 is 10200012102.

It can be written as a sum of positive squares in only one way, i.e., 14423769801 + 5697230400 = 120099^2 + 75480^2 .

It is not a de Polignac number, because 20121000201 - 27 = 20121000073 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: 2235666689 = 20121000201 / (2 + 0 + 1 + 2 + 1 + 0 + 0 + 0 + 2 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (20121000281) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1117833336 + ... + 1117833353.

It is an arithmetic number, because the mean of its divisors is an integer number (4843944495).

Almost surely, 220121000201 is an apocalyptic number.

It is an amenable number.

20121000201 is a deficient number, since it is larger than the sum of its proper divisors (8942666769).

20121000201 is a wasteful number, since it uses less digits than its factorization.

20121000201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235666695 (or 2235666692 counting only the distinct ones).

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

Adding to 20121000201 its reverse (10200012102), we get a palindrome (30321012303).

The spelling of 20121000201 in words is "twenty billion, one hundred twenty-one million, two hundred one", and thus it is an aban number.

Divisors: 1 3 9 2235666689 6707000067 20121000201