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320215103124 = 223723224372957
BaseRepresentation
bin1001010100011100100…
…11101011011010010100
31010121112100012200000020
410222032103223122110
520221300031244444
6403034344545140
732064141316140
oct4521623533224
91117470180006
10320215103124
111138910944a4
12520874821b0
1324271c4b0a7
14116d9c1c220
1584e2269119
hex4a8e4eb694

320215103124 has 144 divisors (see below), whose sum is σ = 893315810688. Its totient is φ = 87446709504.

The previous prime is 320215103081. The next prime is 320215103209. The reversal of 320215103124 is 421301512023.

It is a junction number, because it is equal to n+sod(n) for n = 320215103094 and 320215103103.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 108289054 + ... + 108292010.

Almost surely, 2320215103124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320215103124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446657905344).

320215103124 is an abundant number, since it is smaller than the sum of its proper divisors (573100707564).

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

320215103124 is a wasteful number, since it uses less digits than its factorization.

320215103124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 320215103124 its reverse (421301512023), we get a palindrome (741516615147).

The spelling of 320215103124 in words is "three hundred twenty billion, two hundred fifteen million, one hundred three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 529 644 966 1058 1587 1932 2116 2437 2957 3174 3703 4874 5914 6348 7311 7406 8871 9748 11109 11828 14622 14812 17059 17742 20699 22218 29244 34118 35484 41398 44436 51177 56051 62097 68011 68236 82796 102354 112102 124194 136022 168153 204033 204708 224204 248388 272044 336306 392357 408066 476077 672612 784714 816132 952154 1177071 1289173 1428231 1564253 1569428 1904308 2354142 2578346 2856462 3128506 3867519 4692759 4708284 5156692 5712924 6257012 7206209 7735038 9024211 9385518 10949771 14412418 15470076 18048422 18771036 21618627 21899542 27072633 28824836 32849313 36096844 43237254 43799084 50443463 54145266 65698626 86474508 100886926 108290532 131397252 151330389 165742807 201773852 302660778 331485614 497228421 605321556 662971228 994456842 1160199649 1988913684 2320399298 3480598947 3812084561 4640798596 6961197894 7624169122 11436253683 13922395788 15248338244 22872507366 26684591927 45745014732 53369183854 80053775781 106738367708 160107551562 320215103124