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212030204302989 = 32891657811719681
BaseRepresentation
bin110000001101011100100001…
…000000100101011010001101
31000210201220000111102201202100
4300031130201000211122031
5210242400324300143424
62030541155310345313
762442451056554442
oct6015344100453215
91023656014381670
10212030204302989
1161617560793026
121b944a5a4bb239
1391404934765a7
143a50460c2d9c9
15197a5d39e2dc9
hexc0d72102568d

212030204302989 has 48 divisors (see below), whose sum is σ = 309947874453360. Its totient is φ = 139656575139840.

The previous prime is 212030204302979. The next prime is 212030204302993. The reversal of 212030204302989 is 989203402030212.

212030204302989 is a `hidden beast` number, since 2 + 1 + 20 + 30 + 204 + 302 + 98 + 9 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 19284657444900 + 192745546858089 = 4391430^2 + 13883283^2 .

It is not a de Polignac number, because 212030204302989 - 25 = 212030204302957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212030204302979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10773335229 + ... + 10773354909.

It is an arithmetic number, because the mean of its divisors is an integer number (6457247384445).

Almost surely, 2212030204302989 is an apocalyptic number.

It is an amenable number.

212030204302989 is a deficient number, since it is larger than the sum of its proper divisors (97917670150371).

212030204302989 is a wasteful number, since it uses less digits than its factorization.

212030204302989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29550 (or 29547 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 212030204302989 in words is "two hundred twelve trillion, thirty billion, two hundred four million, three hundred two thousand, nine hundred eighty-nine".

Divisors: 1 3 9 89 267 801 1657 4971 8117 14913 19681 24351 59043 73053 147473 177129 442419 722413 1327257 1751609 2167239 5254827 6501717 13449869 15764481 32611417 40349607 97834251 121048821 159750677 293502753 479252031 1197038341 1437756093 2902416113 3591115023 8707248339 10773345069 14217810253 26121745017 42653430759 127960292277 264706871789 794120615367 2382361846101 23558911589221 70676734767663 212030204302989