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1330112102312 = 237477113015471
BaseRepresentation
bin10011010110110000110…
…110111111111110101000
311201011020210120202001202
4103112300312333332220
5133243032144233222
62455013422303332
7165045263216210
oct23266066777650
94634223522052
101330112102312
11473108673364
1219594ba27b48
139857677c766
1448540855240
15248ec7e4892
hex135b0dbffa8

1330112102312 has 128 divisors (see below), whose sum is σ = 2954690887680. Its totient is φ = 549538080000.

The previous prime is 1330112102281. The next prime is 1330112102353. The reversal of 1330112102312 is 2132012110331.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243117737 + ... + 243123207.

It is an arithmetic number, because the mean of its divisors is an integer number (23083522560).

Almost surely, 21330112102312 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 1330112102312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477345443840).

1330112102312 is an abundant number, since it is smaller than the sum of its proper divisors (1624578785368).

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

1330112102312 is a wasteful number, since it uses less digits than its factorization.

1330112102312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6903 (or 6899 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1330112102312 its reverse (2132012110331), we get a palindrome (3462124212643).

The spelling of 1330112102312 in words is "one trillion, three hundred thirty billion, one hundred twelve million, one hundred two thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 47 56 71 94 142 188 284 329 376 497 568 658 994 1301 1316 1988 2602 2632 3337 3976 5204 5471 6674 9107 10408 10942 13348 18214 21884 23359 26696 36428 38297 43768 46718 61147 72856 76594 92371 93436 122294 153188 184742 186872 244588 257137 306376 369484 388441 428029 489176 514274 646597 738968 776882 856058 1028548 1293194 1553764 1712116 1799959 2057096 2586388 2719087 3107528 3424232 3599918 4341437 5172776 5438174 7117771 7199836 8682874 10876348 14235542 14399672 17365748 18256727 21752696 28471084 30390059 34731496 36513454 49824397 56942168 60780118 73026908 99648794 121560236 127797089 146053816 199297588 243120472 255594178 334535237 398595176 505361741 511188356 669070474 1010723482 1022376712 1338140948 2021446964 2341746659 2676281896 3537532187 4042893928 4683493318 7075064374 9366986636 14150128748 18733973272 23752001827 28300257496 47504003654 95008007308 166264012789 190016014616 332528025578 665056051156 1330112102312