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313201233113301 = 33133472571502033
BaseRepresentation
bin100011100110110101101100…
…0001111100011000011010101
31112001221202010110001110002000
41013031223120033203003111
5312022442111134111201
63030042354332505513
7122654020346500131
oct10715533017430325
91461852113043060
10313201233113301
1190882995a53715
122b1645b731b299
131059b9989c8930
14574b04060c3c1
152632139846d86
hex11cdad83e30d5

313201233113301 has 32 divisors (see below), whose sum is σ = 501134316385920. Its totient is φ = 192183775863552.

The previous prime is 313201233113273. The next prime is 313201233113357. The reversal of 313201233113301 is 103311332102313.

313201233113301 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 0 + 12 + 3 + 311 + 330 + 1 = 666.

It is not a de Polignac number, because 313201233113301 - 213 = 313201233105109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313201233113371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1285629220 + ... + 1285872813.

It is an arithmetic number, because the mean of its divisors is an integer number (15660447387060).

Almost surely, 2313201233113301 is an apocalyptic number.

It is an amenable number.

313201233113301 is a deficient number, since it is larger than the sum of its proper divisors (187933083272619).

313201233113301 is a wasteful number, since it uses less digits than its factorization.

313201233113301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2571502402 (or 2571502396 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 313201233113301 its reverse (103311332102313), we get a palindrome (416512565215614).

It can be divided in two parts, 31320123 and 3113301, that added together give a square (34433424 = 58682).

The spelling of 313201233113301 in words is "three hundred thirteen trillion, two hundred one billion, two hundred thirty-three million, one hundred thirteen thousand, three hundred one".

Divisors: 1 3 9 13 27 39 117 347 351 1041 3123 4511 9369 13533 40599 121797 2571502033 7714506099 23143518297 33429526429 69430554891 100288579287 300865737861 892311205451 902597213583 2676933616353 8030800849059 11600045670863 24092402547177 34800137012589 104400411037767 313201233113301