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11002130331093 = 3311611035895943
BaseRepresentation
bin1010000000011010001000…
…0100011111010111010101
31102221210102101020201012000
42200012202010133113111
52420224330331043333
635222150415545513
72213610021535206
oct240064204372725
942853371221160
1011002130331093
113561a82824220
12129835322b299
1361a65b8a17b5
142a07124795ad
151412cd713713
hexa01a211f5d5

11002130331093 has 64 divisors (see below), whose sum is σ = 18248182517760. Its totient is φ = 6494969707200.

The previous prime is 11002130330981. The next prime is 11002130331097. The reversal of 11002130331093 is 39013303120011.

11002130331093 is a `hidden beast` number, since 110 + 0 + 2 + 130 + 331 + 0 + 93 = 666.

It is not a de Polignac number, because 11002130331093 - 210 = 11002130330069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002130331097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1081921 + ... + 4814022.

It is an arithmetic number, because the mean of its divisors is an integer number (285127851840).

Almost surely, 211002130331093 is an apocalyptic number.

It is an amenable number.

11002130331093 is a deficient number, since it is larger than the sum of its proper divisors (7246052186667).

11002130331093 is a wasteful number, since it uses less digits than its factorization.

11002130331093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5896127 (or 5896121 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 11002130331093 in words is "eleven trillion, two billion, one hundred thirty million, three hundred thirty-one thousand, ninety-three".

Divisors: 1 3 9 11 27 33 61 99 103 183 297 309 549 671 927 1133 1647 2013 2781 3399 6039 6283 10197 18117 18849 30591 56547 69113 169641 207339 622017 1866051 5895943 17687829 53063487 64855373 159190461 194566119 359652523 583698357 607282129 1078957569 1751095071 1821846387 3236872707 3956177753 5465539161 6680103419 9710618121 11868533259 16396617483 20040310257 35605599777 37044209869 60120930771 106816799331 111132629607 180362792313 333397888821 407486308559 1000193666463 1222458925677 3667376777031 11002130331093