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11143014321141 = 324199730288737
BaseRepresentation
bin1010001000100110111101…
…1010010000101111110101
31110110021001211022221022100
42202021233122100233311
52430031343131234031
635411010300452313
72230025165643033
oct242115732205765
943407054287270
1011143014321141
1136067a90a514a
1212bb710b4a099
1362aa21642c11
142a7479257553
15144cc6d4cde6
hexa226f690bf5

11143014321141 has 24 divisors (see below), whose sum is σ = 16504575646104. Its totient is φ = 7240219453440.

The previous prime is 11143014321091. The next prime is 11143014321151. The reversal of 11143014321141 is 14112341034111.

11143014321141 is a `hidden beast` number, since 1 + 1 + 1 + 430 + 14 + 3 + 211 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82926720900 + 11060087600241 = 287970^2 + 3325671^2 .

It is not a de Polignac number, because 11143014321141 - 218 = 11143014058997 is a prime.

It is a super-2 number, since 2×111430143211412 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11143014321151) by changing a digit.

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, 14776476 + ... + 15512261.

It is an arithmetic number, because the mean of its divisors is an integer number (687690651921).

Almost surely, 211143014321141 is an apocalyptic number.

It is an amenable number.

11143014321141 is a deficient number, since it is larger than the sum of its proper divisors (5361561324963).

11143014321141 is a wasteful number, since it uses less digits than its factorization.

11143014321141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30289781 (or 30289778 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11143014321141 its reverse (14112341034111), we get a palindrome (25255355355252).

The spelling of 11143014321141 in words is "eleven trillion, one hundred forty-three billion, fourteen million, three hundred twenty-one thousand, one hundred forty-one".

Divisors: 1 3 9 41 123 369 997 2991 8973 40877 122631 367893 30288737 90866211 272598633 1241838217 3725514651 11176543953 30197870789 90593612367 271780837101 1238112702349 3714338107047 11143014321141