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9191010000100 = 22521992112188909
BaseRepresentation
bin1000010110111111001011…
…1000101101110011100100
31012112122121021211012101111
42011233302320231303210
52201041142030000400
631314143001434404
71636012536661105
oct205576270556344
935478537735344
109191010000100
112a23981599345
12104534279ba04
135189298204a6
1423abc0c363ac
1510e12c79c3ba
hex85bf2e2dce4

9191010000100 has 72 divisors (see below), whose sum is σ = 20139723128000. Its totient is φ = 3640591785600.

The previous prime is 9191010000083. The next prime is 9191010000119. The reversal of 9191010000100 is 10000101919.

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, 3104446 + ... + 5293354.

Almost surely, 29191010000100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9191010000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10069861564000).

9191010000100 is an abundant number, since it is smaller than the sum of its proper divisors (10948713127900).

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

9191010000100 is a wasteful number, since it uses less digits than its factorization.

9191010000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189333 (or 2189326 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 22.

The spelling of 9191010000100 in words is "nine trillion, one hundred ninety-one billion, ten million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 199 211 398 422 796 844 995 1055 1990 2110 3980 4220 4975 5275 9950 10550 19900 21100 41989 83978 167956 209945 419890 839780 1049725 2099450 2188909 4198900 4377818 8755636 10944545 21889090 43778180 54722725 109445450 218890900 435592891 461859799 871185782 923719598 1742371564 1847439196 2177964455 2309298995 4355928910 4618597990 8711857820 9237195980 10889822275 11546494975 21779644550 23092989950 43559289100 46185979900 91910100001 183820200002 367640400004 459550500005 919101000010 1838202000020 2297752500025 4595505000050 9191010000100