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331020320031233 = 717192834671107773
BaseRepresentation
bin100101101000011111010110…
…0100101101100001000000001
31121102001020022020210022101122
41023100332230211230020001
5321341414103411444413
63132004345150442025
7126503300054301020
oct11320765445541001
91542036266708348
10331020320031233
1196522a24a80708
1231161b57503315
131129210b8a9a01
145ba567cc1a8b7
1528408e8c84108
hex12d0fac96c201

331020320031233 has 64 divisors (see below), whose sum is σ = 424040998717440. Its totient is φ = 251552794862592.

The previous prime is 331020320031211. The next prime is 331020320031241. The reversal of 331020320031233 is 332130023020133.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 331020320031233 - 244 = 313428133986817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (331020320031283) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 298262135 + ... + 299369907.

It is an arithmetic number, because the mean of its divisors is an integer number (6625640604960).

Almost surely, 2331020320031233 is an apocalyptic number.

It is an amenable number.

331020320031233 is a deficient number, since it is larger than the sum of its proper divisors (93020678686207).

331020320031233 is a wasteful number, since it uses less digits than its factorization.

331020320031233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108566.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 331020320031233 its reverse (332130023020133), we get a palindrome (663150343051366).

The spelling of 331020320031233 in words is "three hundred thirty-one trillion, twenty billion, three hundred twenty million, thirty-one thousand, two hundred thirty-three".

Divisors: 1 7 17 19 119 133 283 323 467 1981 2261 3269 4811 5377 7939 8873 33677 37639 55573 62111 91409 132161 150841 639863 925127 1055887 1107773 2246737 2511059 7754411 15727159 17577413 18832141 21047687 42688003 131824987 147333809 298816021 313499759 357810679 517329991 2194498313 2504674753 3621309937 5329495903 5956495421 8794609847 9829269829 37306471321 41695467947 61562268929 68804888803 101260422157 146404387453 167097587093 708822955099 1024830712171 1169683109651 2488874586701 2781683361607 17422122106907 19471783531249 47288617147319 331020320031233