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209093819100 = 223523718837281
BaseRepresentation
bin1100001010111011110…
…1100111101011011100
3201222201002220120010020
43002232331213223130
511411211004202400
6240020102112140
721051353065065
oct3025675475334
9658632816106
10209093819100
1180749012081
123463511b650
131694335a81a
14a197b5956c
15568b9d42a0
hex30aef67adc

209093819100 has 72 divisors (see below), whose sum is σ = 621328909488. Its totient is φ = 54251366400.

The previous prime is 209093819087. The next prime is 209093819141. The reversal of 209093819100 is 1918390902.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9407541 + ... + 9429740.

Almost surely, 2209093819100 is an apocalyptic number.

209093819100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

209093819100 is an abundant number, since it is smaller than the sum of its proper divisors (412235090388).

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

209093819100 is a wasteful number, since it uses less digits than its factorization.

209093819100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18837335 (or 18837328 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 42.

The spelling of 209093819100 in words is "two hundred nine billion, ninety-three million, eight hundred nineteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 11100 18837281 37674562 56511843 75349124 94186405 113023686 188372810 226047372 282559215 376745620 470932025 565118430 696979397 941864050 1130236860 1393958794 1412796075 1883728100 2090938191 2787917588 2825592150 3484896985 4181876382 5651184300 6969793970 8363752764 10454690955 13939587940 17424484925 20909381910 34848969850 41818763820 52273454775 69697939700 104546909550 209093819100