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2300322011130 = 23251113178735199
BaseRepresentation
bin100001011110010101111…
…000000101011111111010
322010220112101200201221100
4201132111320011133322
5300142024413324010
64520430415552230
7325123060323363
oct41362570053772
98126471621840
102300322011130
11807619895890
1231199922b676
13138bc4cc96c0
147d49c694b6a
153ec83a972c0
hex21795e057fa

2300322011130 has 96 divisors (see below), whose sum is σ = 7026438182400. Its totient is φ = 514757370240.

The previous prime is 2300322011101. The next prime is 2300322011147. The reversal of 2300322011130 is 311102230032.

2300322011130 is a `hidden beast` number, since 2 + 300 + 3 + 220 + 11 + 130 = 666.

It is a super-3 number, since 3×23003220111303 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 89354730 + ... + 89380469.

It is an arithmetic number, because the mean of its divisors is an integer number (73192064400).

Almost surely, 22300322011130 is an apocalyptic number.

2300322011130 is an abundant number, since it is smaller than the sum of its proper divisors (4726116171270).

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

2300322011130 is a wasteful number, since it uses less digits than its factorization.

2300322011130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178735236 (or 178735233 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2300322011130 its reverse (311102230032), we get a palindrome (2611424241162).

The spelling of 2300322011130 in words is "two trillion, three hundred billion, three hundred twenty-two million, eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 110 117 130 143 165 195 198 234 286 330 390 429 495 585 715 858 990 1170 1287 1430 2145 2574 4290 6435 12870 178735199 357470398 536205597 893675995 1072411194 1608616791 1787351990 1966087189 2323557587 2681027985 3217233582 3932174378 4647115174 5362055970 5898261567 6970672761 8043083955 9830435945 11617787935 11796523134 13941345522 16086167910 17694784701 19660871890 20912018283 23235575870 25559133457 29491307835 34853363805 35389569402 41824036566 51118266914 58982615670 69706727610 76677400371 88473923505 104560091415 127795667285 153354800742 176947847010 209120182830 230032201113 255591334570 383387001855 460064402226 766774003710 1150161005565 2300322011130