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12105265761813 = 372734332605231
BaseRepresentation
bin1011000000100111101000…
…0100001100111000010101
31120212020210210011212021110
42300021322010030320111
53041313041013334223
641425025440405233
72356401525145200
oct260117204147025
946766723155243
1012105265761813
1139478a5a36774
1214360b9016819
1369a6a212b903
142dbc80120937
1515ed445aad93
hexb027a10ce15

12105265761813 has 48 divisors (see below), whose sum is σ = 19076675847936. Its totient is φ = 6806778209280.

The previous prime is 12105265761793. The next prime is 12105265761863. The reversal of 12105265761813 is 31816756250121.

It is not a de Polignac number, because 12105265761813 - 224 = 12105248984597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12105265761863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3343908 + ... + 5949138.

It is an arithmetic number, because the mean of its divisors is an integer number (397430746832).

Almost surely, 212105265761813 is an apocalyptic number.

It is an amenable number.

12105265761813 is a deficient number, since it is larger than the sum of its proper divisors (6971410086123).

12105265761813 is a wasteful number, since it uses less digits than its factorization.

12105265761813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605754 (or 2605747 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 12105265761813 in words is "twelve trillion, one hundred five billion, two hundred sixty-five million, seven hundred sixty-one thousand, eight hundred thirteen".

Divisors: 1 3 7 21 49 73 147 219 433 511 1299 1533 3031 3577 9093 10731 21217 31609 63651 94827 221263 663789 1548841 2605231 4646523 7815693 18236617 54709851 127656319 190181863 382968957 570545589 1128065023 1331273041 3384195069 3993819123 7896455161 9318911287 23689365483 27956733861 55275186127 82348746679 165825558381 247046240037 576441226753 1729323680259 4035088587271 12105265761813