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107229730200 = 23352191935687
BaseRepresentation
bin110001111011101100…
…0111101010110011000
3101020210000122200121220
41203313120331112120
53224101302331300
6121132145132040
710514152445055
oct1436730752630
9336700580556
10107229730200
114152642943a
121894702a020
13a15b5abbc8
1452932dc02c
152bc8cd1da0
hex18f763d598

107229730200 has 96 divisors (see below), whose sum is σ = 334152898560. Its totient is φ = 28444854400.

The previous prime is 107229730189. The next prime is 107229730219. The reversal of 107229730200 is 2037922701.

It is a super-2 number, since 2×1072297302002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353244 + ... + 582443.

It is an arithmetic number, because the mean of its divisors is an integer number (3480759360).

Almost surely, 2107229730200 is an apocalyptic number.

107229730200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107229730200 is an abundant number, since it is smaller than the sum of its proper divisors (226923168360).

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

107229730200 is a wasteful number, since it uses less digits than its factorization.

107229730200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935897 (or 935888 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 107229730200 in words is "one hundred seven billion, two hundred twenty-nine million, seven hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 191 200 300 382 573 600 764 955 1146 1528 1910 2292 2865 3820 4584 4775 5730 7640 9550 11460 14325 19100 22920 28650 38200 57300 114600 935687 1871374 2807061 3742748 4678435 5614122 7485496 9356870 11228244 14035305 18713740 22456488 23392175 28070610 37427480 46784350 56141220 70176525 93568700 112282440 140353050 178716217 187137400 280706100 357432434 536148651 561412200 714864868 893581085 1072297302 1429729736 1787162170 2144594604 2680743255 3574324340 4289189208 4467905425 5361486510 7148648680 8935810850 10722973020 13403716275 17871621700 21445946040 26807432550 35743243400 53614865100 107229730200