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1312103203312 = 2411432415991201
BaseRepresentation
bin10011000101111111011…
…100100000000111110000
311122102202201122212220111
4103011333130200013300
5132444141410001222
62442434421151104
7163540066131406
oct23057734400760
94572681585814
101312103203312
11466507062a60
1219236485b494
13969667547c5
1447712b8d476
15241e677e777
hex1317f7201f0

1312103203312 has 160 divisors (see below), whose sum is σ = 2856713587200. Its totient is φ = 578672640000.

The previous prime is 1312103203277. The next prime is 1312103203337. The reversal of 1312103203312 is 2133023012131.

It is a super-2 number, since 2×13121032033122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent 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, 1092508312 + ... + 1092509512.

It is an arithmetic number, because the mean of its divisors is an integer number (17854459920).

Almost surely, 21312103203312 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 1312103203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428356793600).

1312103203312 is an abundant number, since it is smaller than the sum of its proper divisors (1544610383888).

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

1312103203312 is a wasteful number, since it uses less digits than its factorization.

1312103203312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2103 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1312103203312 its reverse (2133023012131), we get a palindrome (3445126215443).

The spelling of 1312103203312 in words is "one trillion, three hundred twelve billion, one hundred three million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 172 176 241 344 473 482 599 688 946 964 1198 1201 1892 1928 2396 2402 2651 3784 3856 4792 4804 5302 6589 7568 9584 9608 10363 10604 13178 13211 19216 20726 21208 25757 26356 26422 41452 42416 51514 51643 52712 52844 82904 103028 103286 105424 105688 113993 144359 165808 206056 206572 211376 227986 283327 288718 289441 412112 413144 455972 566654 568073 577436 578882 719399 826288 911944 1133308 1136146 1154872 1157764 1438798 1587949 1823888 2266616 2272292 2309744 2315528 2877596 3175898 3183851 4533232 4544584 4631056 5755192 6207437 6351796 6367702 7913389 9089168 11510384 12414874 12445963 12703592 12735404 15826778 24829748 24891926 25407184 25470808 30934157 31653556 49659496 49783852 50941616 61868314 63307112 68281807 99318992 99567704 123736628 126614224 136563614 136905593 173375159 199135408 247473256 273127228 273811186 340275727 346750318 494946512 546254456 547622372 680551454 693500636 1092508912 1095244744 1361102908 1387001272 1907126749 2190489488 2722205816 2774002544 3814253498 5444411632 7455131837 7628506996 14910263674 15257013992 29820527348 30514027984 59641054696 82006450207 119282109392 164012900414 328025800828 656051601656 1312103203312