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1312404201 = 34591012719
BaseRepresentation
bin100111000111001…
…1011001011101001
310101110112001010000
41032032123023221
510141433413301
6334121213213
744344152213
oct11616331351
93343461100
101312404201
116138aa779
12307631209
1317bb8bc44
14c642d5b3
157a340786
hex4e39b2e9

1312404201 has 40 divisors (see below), whose sum is σ = 2014214400. Its totient is φ = 851277600.

The previous prime is 1312404187. The next prime is 1312404221. The reversal of 1312404201 is 1024042131.

1312404201 is a `hidden beast` number, since 1 + 3 + 1 + 240 + 420 + 1 = 666.

It is not a de Polignac number, because 1312404201 - 210 = 1312403177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1312404221) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 481320 + ... + 484038.

It is an arithmetic number, because the mean of its divisors is an integer number (50355360).

Almost surely, 21312404201 is an apocalyptic number.

It is an amenable number.

1312404201 is a deficient number, since it is larger than the sum of its proper divisors (701810199).

1312404201 is a wasteful number, since it uses less digits than its factorization.

1312404201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1312404201 is about 36227.1196895365. The cubic root of 1312404201 is about 1094.8531460029.

Adding to 1312404201 its reverse (1024042131), we get a palindrome (2336446332).

The spelling of 1312404201 in words is "one billion, three hundred twelve million, four hundred four thousand, two hundred one".

Divisors: 1 3 9 27 59 81 101 177 303 531 909 1593 2719 2727 4779 5959 8157 8181 17877 24471 53631 73413 160421 160893 220239 274619 481263 482679 823857 1443789 2471571 4331367 7414713 12994101 16202521 22244139 48607563 145822689 437468067 1312404201