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12110002100 = 2252726736887
BaseRepresentation
bin10110100011100111…
…11111011110110100
31011020222002211212022
423101303333132310
5144300130031400
65321355212312
7606045214400
oct132163773664
934228084768
1012110002100
1151548648a9
12241b747098
1311acb9ab21
1482c494100
154ad24db85
hex2d1cff7b4

12110002100 has 108 divisors (see below), whose sum is σ = 31026201696. Its totient is φ = 4089919680.

The previous prime is 12110002087. The next prime is 12110002103. The reversal of 12110002100 is 120001121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110002103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 309857 + ... + 346743.

Almost surely, 212110002100 is an apocalyptic number.

12110002100 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 12110002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513100848).

12110002100 is an abundant number, since it is smaller than the sum of its proper divisors (18916199596).

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

12110002100 is a wasteful number, since it uses less digits than its factorization.

12110002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36982 (or 36968 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12110002100 its reverse (120001121), we get a palindrome (12230003221).

The spelling of 12110002100 in words is "twelve billion, one hundred ten million, two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 67 70 98 100 134 140 175 196 245 268 335 350 469 490 670 700 938 980 1225 1340 1675 1876 2345 2450 3283 3350 4690 4900 6566 6700 9380 11725 13132 16415 23450 32830 36887 46900 65660 73774 82075 147548 164150 184435 258209 328300 368870 516418 737740 922175 1032836 1291045 1807463 1844350 2471429 2582090 3614926 3688700 4942858 5164180 6455225 7229852 9037315 9885716 12357145 12910450 17300003 18074630 24714290 25820900 34600006 36149260 45186575 49428580 61785725 69200012 86500015 90373150 121100021 123571450 173000030 180746300 242200042 247142900 346000060 432500075 484400084 605500105 865000150 1211000210 1730000300 2422000420 3027500525 6055001050 12110002100