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12860100 = 22335211433
BaseRepresentation
bin110001000011…
…101011000100
3220012100202000
4301003223010
511243010400
61135345300
7214211001
oct61035304
926170660
1012860100
117293a90
124382230
132883636
1419ca8a8
1511e0600
hexc43ac4

12860100 has 144 divisors (see below), whose sum is σ = 45205440. Its totient is φ = 3110400.

The previous prime is 12860087. The next prime is 12860117. The reversal of 12860100 is 106821.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29484 + ... + 29916.

Almost surely, 212860100 is an apocalyptic number.

12860100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12860100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22602720).

12860100 is an abundant number, since it is smaller than the sum of its proper divisors (32345340).

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

12860100 is a wasteful number, since it uses less digits than its factorization.

12860100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 12860100 is about 3586.0981581658. The cubic root of 12860100 is about 234.2869589322.

Adding to 12860100 its reverse (106821), we get a palindrome (12966921).

The spelling of 12860100 in words is "twelve million, eight hundred sixty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 75 90 99 100 108 110 132 135 150 165 180 198 220 225 270 275 297 300 330 396 433 450 495 540 550 594 660 675 825 866 900 990 1100 1188 1299 1350 1485 1650 1732 1980 2165 2475 2598 2700 2970 3300 3897 4330 4763 4950 5196 5940 6495 7425 7794 8660 9526 9900 10825 11691 12990 14289 14850 15588 19052 19485 21650 23382 23815 25980 28578 29700 32475 38970 42867 43300 46764 47630 57156 58455 64950 71445 77940 85734 95260 97425 116910 119075 128601 129900 142890 171468 194850 214335 233820 238150 257202 285780 292275 357225 389700 428670 476300 514404 584550 643005 714450 857340 1071675 1169100 1286010 1428900 2143350 2572020 3215025 4286700 6430050 12860100