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320320312042311 = 327292083612113751
BaseRepresentation
bin100100011010101000110001…
…0011010011110001101000111
31120000011022201022000210002100
41020311101202122132031013
5313441111444340323221
63053133041521043143
7124320243641114520
oct11065214232361507
91500138638023070
10320320312042311
1193078099461889
122bb142804864b3
13109970ca7481a9
14591582b707847
1527073ee20b926
hex123546269e347

320320312042311 has 96 divisors (see below), whose sum is σ = 547408450667520. Its totient is φ = 176601902400000.

The previous prime is 320320312042277. The next prime is 320320312042397. The reversal of 320320312042311 is 113240213023023.

320320312042311 is a `hidden beast` number, since 3 + 2 + 0 + 3 + 203 + 1 + 20 + 423 + 11 = 666.

It is not a de Polignac number, because 320320312042311 - 222 = 320320307848007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320320312042811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23294321686 + ... + 23294335436.

It is an arithmetic number, because the mean of its divisors is an integer number (5702171361120).

Almost surely, 2320320312042311 is an apocalyptic number.

320320312042311 is a deficient number, since it is larger than the sum of its proper divisors (227088138625209).

320320312042311 is a wasteful number, since it uses less digits than its factorization.

320320312042311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21997 (or 21994 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 320320312042311 its reverse (113240213023023), we get a palindrome (433560525065334).

The spelling of 320320312042311 in words is "three hundred twenty trillion, three hundred twenty billion, three hundred twelve million, forty-two thousand, three hundred eleven".

Divisors: 1 3 7 9 21 29 63 87 203 261 609 1827 2083 6121 6249 13751 14581 18363 18747 41253 42847 43743 55089 60407 96257 123759 128541 131229 177509 181221 288771 385623 398779 422849 532527 543663 866313 1196337 1242563 1268547 1597581 2791453 3589011 3727689 3805641 8374359 11183067 12750043 25123077 28643333 38250129 84169871 85929999 89250301 114750387 200503331 252509613 257789997 267750903 369751247 589189097 601509993 757528839 803252709 830656657 1109253741 1767567291 1804529979 2440926259 2491969971 2588258729 3327761223 5302701873 5814596599 7322778777 7475909913 7764776187 17086483813 17443789797 21968336331 23294328561 51259451439 52331369391 153778354317 175325841293 525977523879 1227280889051 1577932571637 3681842667153 5084449397497 11045528001459 15253348192491 35591145782479 45760044577473 106773437347437 320320312042311