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200105534340 = 223251111697413
BaseRepresentation
bin1011101001011100111…
…0000010001110000100
3201010111200212101101200
42322113032002032010
511234304004044330
6231532140022500
720312541656205
oct2722716021604
9633450771350
10200105534340
11779563a2768
1232946b31a30
1315b4014ca2a
1499841135ac
15531286da60
hex2e97382384

200105534340 has 36 divisors (see below), whose sum is σ = 606986788044. Its totient is φ = 53361475776.

The previous prime is 200105534309. The next prime is 200105534359. The reversal of 200105534340 is 43435501002.

200105534340 is a `hidden beast` number, since 20 + 0 + 10 + 553 + 43 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40732119684 + 159373414656 = 201822^2 + 399216^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 555848527 + ... + 555848886.

Almost surely, 2200105534340 is an apocalyptic number.

200105534340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200105534340 is an abundant number, since it is smaller than the sum of its proper divisors (406881253704).

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

200105534340 is a wasteful number, since it uses less digits than its factorization.

200105534340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111697428 (or 1111697423 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 200105534340 in words is "two hundred billion, one hundred five million, five hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1111697413 2223394826 3335092239 4446789652 5558487065 6670184478 10005276717 11116974130 13340368956 16675461195 20010553434 22233948260 33350922390 40021106868 50026383585 66701844780 100052767170 200105534340