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11303112434211 = 3213616197873251
BaseRepresentation
bin1010010001111011011000…
…0000000110001000100011
31111000120022100011202010200
42210132312000012020203
52440142233240343321
640012324515000243
72244423443312133
oct244366600061043
944016270152120
1011303112434211
113668694330094
121326751599083
1363cb570124c0
142b1105bcaac3
1514904721ad26
hexa47b6006223

11303112434211 has 96 divisors (see below), whose sum is σ = 17927986702080. Its totient is φ = 6819901920000.

The previous prime is 11303112434203. The next prime is 11303112434279. The reversal of 11303112434211 is 11243421130311.

11303112434211 is a `hidden beast` number, since 1 + 1 + 3 + 0 + 3 + 1 + 12 + 434 + 211 = 666.

It is not a de Polignac number, because 11303112434211 - 23 = 11303112434203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11303112434111) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3476809336 + ... + 3476812586.

It is an arithmetic number, because the mean of its divisors is an integer number (186749861480).

Almost surely, 211303112434211 is an apocalyptic number.

11303112434211 is a deficient number, since it is larger than the sum of its proper divisors (6624874267869).

11303112434211 is a wasteful number, since it uses less digits than its factorization.

11303112434211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4737 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 11303112434211 its reverse (11243421130311), we get a palindrome (22546533564522).

The spelling of 11303112434211 in words is "eleven trillion, three hundred three billion, one hundred twelve million, four hundred thirty-four thousand, two hundred eleven".

Divisors: 1 3 9 13 39 61 117 183 549 619 787 793 1857 2361 2379 3251 5571 7083 7137 8047 9753 10231 24141 29259 30693 37759 42263 48007 72423 92079 113277 126789 144021 198311 339831 380367 432063 487153 490867 594933 624091 1461459 1472601 1784799 1872273 2012369 2558537 2578043 4384377 4417803 5616819 6037107 6332989 7675611 7734129 18111321 18998967 23026833 23202387 26160797 29716333 33260981 56996901 78482391 89148999 99782943 122754509 156070757 235447173 267446997 299348829 368263527 386312329 468212271 1104790581 1158936987 1404636813 1583734403 1595808617 2028919841 3476810961 4751203209 4787425851 6086759523 14253609627 14362277553 18260278569 20588547239 61765641717 96607798583 185296925151 289823395749 869470187247 1255901381579 3767704144737 11303112434211