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1336295234313 = 3213971273312801
BaseRepresentation
bin10011011100100001011…
…001110001101100001001
311201202012201020101121200
4103130201121301230021
5133343213034444223
62501515140254413
7165354433036134
oct23344131615411
94652181211550
101336295234313
114757a0905a06
12196b966a1409
1399020777b50
1448969ad521b
1524b60553a43
hex13721671b09

1336295234313 has 96 divisors (see below), whose sum is σ = 2123800154112. Its totient is φ = 804722688000.

The previous prime is 1336295234293. The next prime is 1336295234363. The reversal of 1336295234313 is 3134325926331.

1336295234313 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 295 + 2 + 343 + 13 = 666.

It is not a de Polignac number, because 1336295234313 - 212 = 1336295230217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1336295234363) 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 95 ways as a sum of consecutive naturals, for example, 477076513 + ... + 477079313.

It is an arithmetic number, because the mean of its divisors is an integer number (22122918272).

Almost surely, 21336295234313 is an apocalyptic number.

1336295234313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1336295234313 is a deficient number, since it is larger than the sum of its proper divisors (787504919799).

1336295234313 is a wasteful number, since it uses less digits than its factorization.

1336295234313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3372 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 45.

The spelling of 1336295234313 in words is "one trillion, three hundred thirty-six billion, two hundred ninety-five million, two hundred thirty-four thousand, three hundred thirteen".

Divisors: 1 3 9 13 39 97 117 127 291 331 381 873 993 1143 1261 1651 2801 2979 3783 4303 4953 8403 11349 12319 12909 14859 25209 32107 36413 36957 38727 42037 96321 109239 110871 126111 160147 271697 288963 327717 355727 378333 417391 480441 546481 815091 927131 1067181 1252173 1441323 1639443 2445273 2781393 3201543 3532061 3756519 4077589 4624451 4918329 8344179 10596183 12052703 12232767 13873353 31788549 34505519 36158109 36698301 41620059 53008657 89931707 103516557 108474327 117745637 159025971 269795121 310549671 353236911 448571747 477077913 809385363 1059710733 1169112191 1345715241 1530693281 3507336573 4037145723 4592079843 10522009719 11421326789 13776239529 34263980367 102791941101 148477248257 445431744771 1336295234313