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11332230223110 = 2351772776140163
BaseRepresentation
bin1010010011100111110110…
…0011101001010100000110
31111010100110121102200101120
42210321331203221110012
52441131401414114420
640033542114134410
72246504141402016
oct244717543512406
944110417380346
1011332230223110
113679a76591935
121330318b81406
1364281769baa4
142b26a8dc9c46
15149b9d67dd40
hexa4e7d8e9506

11332230223110 has 128 divisors (see below), whose sum is σ = 28875420048384. Its totient is φ = 2836452495360.

The previous prime is 11332230223081. The next prime is 11332230223147. The reversal of 11332230223110 is 1132203223311.

11332230223110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282135889 + ... + 282176051.

It is an arithmetic number, because the mean of its divisors is an integer number (225589219128).

Almost surely, 211332230223110 is an apocalyptic number.

11332230223110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11332230223110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14437710024192).

11332230223110 is an abundant number, since it is smaller than the sum of its proper divisors (17543189825274).

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

11332230223110 is a wasteful number, since it uses less digits than its factorization.

11332230223110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41678.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11332230223110 its reverse (1132203223311), we get a palindrome (12464433446421).

The spelling of 11332230223110 in words is "eleven trillion, three hundred thirty-two billion, two hundred thirty million, two hundred twenty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 727 761 1454 1522 2181 2283 3635 3805 4362 4566 7270 7610 10905 11415 12359 12937 21810 22830 24718 25874 37077 38811 40163 61795 64685 74154 77622 80326 120489 123590 129370 185385 194055 200815 240978 370770 388110 401630 553247 602445 682771 1106494 1204890 1365542 1659741 2048313 2766235 3319482 3413855 4096626 5532470 6827710 8298705 9405199 10241565 16597410 18810398 20483130 28215597 29198501 30564043 47025995 56431194 58397002 61128086 87595503 91692129 94051990 141077985 145992505 152820215 175191006 183384258 282155970 291985010 305640430 437977515 458460645 496374517 519588731 875955030 916921290 992749034 1039177462 1489123551 1558766193 2481872585 2597943655 2978247102 3117532386 4963745170 5195887310 7445617755 7793830965 14891235510 15587661930 22220059261 44440118522 66660177783 111100296305 133320355566 222200592610 333300888915 377741007437 666601777830 755482014874 1133223022311 1888705037185 2266446044622 3777410074370 5666115111555 11332230223110