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1310112213321 = 317472514195197
BaseRepresentation
bin10011000100001000110…
…001011110100101001001
311122020121222021010002110
4103010020301132211021
5132431102211311241
62441505055252533
7163436542034022
oct23041061364511
94566558233073
101310112213321
1146568520a78a
12191aa9b1a149
139670a113512
14475a459bc49
152412ba9b816
hex13108c5e949

1310112213321 has 64 divisors (see below), whose sum is σ = 1901340241920. Its totient is φ = 799269504000.

The previous prime is 1310112213299. The next prime is 1310112213323. The reversal of 1310112213321 is 1233122110131.

It is not a de Polignac number, because 1310112213321 - 223 = 1310103824713 is a prime.

It is a super-2 number, since 2×13101122133212 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1310112213323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 252087495 + ... + 252092691.

It is an arithmetic number, because the mean of its divisors is an integer number (29708441280).

Almost surely, 21310112213321 is an apocalyptic number.

It is an amenable number.

1310112213321 is a deficient number, since it is larger than the sum of its proper divisors (591228028599).

1310112213321 is a wasteful number, since it uses less digits than its factorization.

1310112213321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5934.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1310112213321 its reverse (1233122110131), we get a palindrome (2543234323452).

The spelling of 1310112213321 in words is "one trillion, three hundred ten billion, one hundred twelve million, two hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 3 17 47 51 141 251 419 753 799 1257 2397 4267 5197 7123 11797 12801 15591 19693 21369 35391 59079 88349 105169 200549 244259 265047 315507 334781 601647 732777 1004343 1304447 1787873 2177543 3913341 4152403 4942943 5363619 6532629 12457209 14828829 22175599 37018231 61309009 66526797 84030031 102344521 111054693 183927027 252090093 307033563 546563293 1042253153 1639689879 1739856857 3126759459 5219570571 9291575981 25688474771 27874727943 77065424313 436704071107 1310112213321