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100011212102200 = 23527174202151769
BaseRepresentation
bin10110101111010110101100…
…110001010101101000111000
3111010002222102022212100001011
4112233112230301111220320
5101102040430244232300
6552412303325003304
730031400032345660
oct2657265461255070
9433088368770034
10100011212102200
1129959575a43543
12b272a146b3534
1343a602aca4249
141a9a7d5d351a0
15b867c3ca8eba
hex5af5acc55a38

100011212102200 has 96 divisors (see below), whose sum is σ = 281376082519200. Its totient is φ = 32272525578240.

The previous prime is 100011212102161. The next prime is 100011212102209. The reversal of 100011212102200 is 2201212110001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011212102209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2101052085 + ... + 2101099684.

It is an arithmetic number, because the mean of its divisors is an integer number (2931000859575).

Almost surely, 2100011212102200 is an apocalyptic number.

100011212102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011212102200 is an abundant number, since it is smaller than the sum of its proper divisors (181364870417000).

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

100011212102200 is a wasteful number, since it uses less digits than its factorization.

100011212102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202151809 (or 4202151800 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100011212102200 its reverse (2201212110001), we get a palindrome (102212424212201).

The spelling of 100011212102200 in words is "one hundred trillion, eleven billion, two hundred twelve million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 136 140 170 175 200 238 280 340 350 425 476 595 680 700 850 952 1190 1400 1700 2380 2975 3400 4760 5950 11900 23800 4202151769 8404303538 16808607076 21010758845 29415062383 33617214152 42021517690 58830124766 71436580073 84043035380 105053794225 117660249532 142873160146 147075311915 168086070760 210107588450 235320499064 285746320292 294150623830 357182900365 420215176900 500056060511 571492640584 588301247660 714365800730 735376559575 840430353800 1000112121022 1176602495320 1428731601460 1470753119150 1785914501825 2000224242044 2500280302555 2857463202920 2941506238300 3571829003650 4000448484088 5000560605110 5883012476600 7143658007300 10001121210220 12501401512775 14287316014600 20002242420440 25002803025550 50005606051100 100011212102200