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320231341235106 = 232721895919150487
BaseRepresentation
bin100100011001111111010101…
…1010101110001101110100010
31112222211211001202202111001200
41020303332223111301232202
5313433132241324010411
63053024125223542030
7124310644106536200
oct11063765325615642
91488754052674050
10320231341235106
1193043392793554
122babab902ba916
131098b8bbc14842
1459113cb396070
152704e433cae56
hex1233fab571ba2

320231341235106 has 72 divisors (see below), whose sum is σ = 807156300263040. Its totient is φ = 91489838224176.

The previous prime is 320231341235063. The next prime is 320231341235107. The reversal of 320231341235106 is 601532143132023.

320231341235106 is a `hidden beast` number, since 3 + 2 + 0 + 2 + 3 + 13 + 4 + 123 + 510 + 6 = 666.

It is a super-2 number, since 2×3202313412351062 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (320231341235107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7146595 + ... + 26297081.

It is an arithmetic number, because the mean of its divisors is an integer number (11210504170320).

Almost surely, 2320231341235106 is an apocalyptic number.

320231341235106 is an abundant number, since it is smaller than the sum of its proper divisors (486924959027934).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

320231341235106 is a wasteful number, since it uses less digits than its factorization.

320231341235106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19169468 (or 19169458 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 320231341235106 its reverse (601532143132023), we get a palindrome (921763484367129).

The spelling of 320231341235106 in words is "three hundred twenty trillion, two hundred thirty-one billion, three hundred forty-one million, two hundred thirty-five thousand, one hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 18959 37918 56877 113754 132713 170631 265426 341262 398139 796278 928991 1194417 1857982 2388834 2786973 5573946 8360919 16721838 19150487 38300974 57451461 114902922 134053409 172354383 268106818 344708766 402160227 804320454 938373863 1206480681 1876747726 2412961362 2815121589 5630243178 8445364767 16890729534 363074083033 726148166066 1089222249099 2178444498198 2541518581231 3267666747297 5083037162462 6535333494594 7624555743693 15249111487386 17790630068617 22873667231079 35581260137234 45747334462158 53371890205851 106743780411702 160115670617553 320231341235106