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105150050000 = 24554348907
BaseRepresentation
bin110000111101101101…
…1100110111011010000
3101001102002100222201022
41201323123212323100
53210321403100000
6120145534255012
710411500451352
oct1417333467320
9331362328638
10105150050000
1140659509976
1218466657468
139bb9786bc8
1451370210d2
152b06430585
hex187b6e6ed0

105150050000 has 120 divisors (see below), whose sum is σ = 260571259872. Its totient is φ = 41081040000.

The previous prime is 105150049999. The next prime is 105150050011. The reversal of 105150050000 is 50051501.

It is a super-2 number, since 2×1051500500002 (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, 2125547 + ... + 2174453.

Almost surely, 2105150050000 is an apocalyptic number.

105150050000 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 105150050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130285629936).

105150050000 is an abundant number, since it is smaller than the sum of its proper divisors (155421209872).

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

105150050000 is an frugal number, since it uses more digits than its factorization.

105150050000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48983 (or 48957 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 17.

The spelling of 105150050000 in words is "one hundred five billion, one hundred fifty million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 172 200 215 250 344 400 430 500 625 688 860 1000 1075 1250 1720 2000 2150 2500 3125 3440 4300 5000 5375 6250 8600 10000 10750 12500 17200 21500 25000 26875 43000 48907 50000 53750 86000 97814 107500 134375 195628 215000 244535 268750 391256 430000 489070 537500 782512 978140 1075000 1222675 1956280 2103001 2150000 2445350 3912560 4206002 4890700 6113375 8412004 9781400 10515005 12226750 16824008 19562800 21030010 24453500 30566875 33648016 42060020 48907000 52575025 61133750 84120040 97814000 105150050 122267500 152834375 168240080 210300100 244535000 262875125 305668750 420600200 489070000 525750250 611337500 841200400 1051500500 1222675000 1314375625 2103001000 2445350000 2628751250 4206002000 5257502500 6571878125 10515005000 13143756250 21030010000 26287512500 52575025000 105150050000