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211201000985 = 5132249942013
BaseRepresentation
bin1100010010110010001…
…1111000011000011001
3202012010221221111020202
43010230203320120121
511430014424012420
6241005134231545
721154520613362
oct3045443703031
9665127844222
10211201000985
118162a506007
1234b229555b5
1316bbaa91600
14a317954b69
1557619b9575
hex312c8f8619

211201000985 has 12 divisors (see below), whose sum is σ = 274436331372. Its totient is φ = 155963815488.

The previous prime is 211201000961. The next prime is 211201001029. The reversal of 211201000985 is 589000102112.

It can be written as a sum of positive squares in 6 ways, for example, as 3436421641 + 207764579344 = 58621^2 + 455812^2 .

It is not a de Polignac number, because 211201000985 - 28 = 211201000729 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

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, 124970162 + ... + 124971851.

It is an arithmetic number, because the mean of its divisors is an integer number (22869694281).

Almost surely, 2211201000985 is an apocalyptic number.

It is an amenable number.

211201000985 is a deficient number, since it is larger than the sum of its proper divisors (63235330387).

211201000985 is a wasteful number, since it uses less digits than its factorization.

211201000985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249942044 (or 249942031 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 29.

The spelling of 211201000985 in words is "two hundred eleven billion, two hundred one million, nine hundred eighty-five", and thus it is an aban number.

Divisors: 1 5 13 65 169 845 249942013 1249710065 3249246169 16246230845 42240200197 211201000985