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20132120205 = 32517157167621
BaseRepresentation
bin10010101111111101…
…111100011010001101
31220222001010200002200
4102233331330122031
5312212310321310
613125405112113
71311615125001
oct225775743215
956861120080
1020132120205
1185a106997a
123a9a258639
131b8ab86482
14d8da78701
157cc6679c0
hex4aff7c68d

20132120205 has 48 divisors (see below), whose sum is σ = 37183923504. Its totient is φ = 10041108480.

The previous prime is 20132120093. The next prime is 20132120213. The reversal of 20132120205 is 50202123102.

It can be written as a sum of positive squares in 8 ways, for example, as 3360057156 + 16772063049 = 57966^2 + 129507^2 .

It is not a de Polignac number, because 20132120205 - 216 = 20132054669 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36295 + ... + 203915.

It is an arithmetic number, because the mean of its divisors is an integer number (774665073).

Almost surely, 220132120205 is an apocalyptic number.

It is an amenable number.

20132120205 is a deficient number, since it is larger than the sum of its proper divisors (17051803299).

20132120205 is a wasteful number, since it uses less digits than its factorization.

20132120205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167806 (or 167803 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 20132120205 its reverse (50202123102), we get a palindrome (70334243307).

The spelling of 20132120205 in words is "twenty billion, one hundred thirty-two million, one hundred twenty thousand, two hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 157 255 471 765 785 1413 2355 2669 7065 8007 13345 24021 40035 120105 167621 502863 838105 1508589 2514315 2849557 7542945 8548671 14247785 25646013 26316497 42743355 78949491 128230065 131582485 236848473 394747455 447380449 1184242365 1342141347 2236902245 4026424041 6710706735 20132120205