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13044103122303 = 3211223539826133
BaseRepresentation
bin1011110111010001000100…
…1000100000110101111111
31201012000002222022021102200
42331310101020200311333
53202203310344403203
643424213411322543
72514256015064031
oct275642110406577
951160088267380
1013044103122303
114179a78176300
12156804b8b0453
13738090b270a6
143314a350bc51
151794914b39a3
hexbdd11220d7f

13044103122303 has 72 divisors (see below), whose sum is σ = 22018243849056. Its totient is φ = 7419122705280.

The previous prime is 13044103122251. The next prime is 13044103122311. The reversal of 13044103122303 is 30322130144031.

It is a happy number.

13044103122303 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 41 + 0 + 312 + 2 + 303 = 666.

It is not a de Polignac number, because 13044103122303 - 216 = 13044103056767 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13044103122353) 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 71 ways as a sum of consecutive naturals, for example, 3585576 + ... + 6240557.

It is an arithmetic number, because the mean of its divisors is an integer number (305808942348).

Almost surely, 213044103122303 is an apocalyptic number.

13044103122303 is a deficient number, since it is larger than the sum of its proper divisors (8974140726753).

13044103122303 is a wasteful number, since it uses less digits than its factorization.

13044103122303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9826237 (or 9826223 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13044103122303 its reverse (30322130144031), we get a palindrome (43366233266334).

The spelling of 13044103122303 in words is "thirteen trillion, forty-four billion, one hundred three million, one hundred twenty-two thousand, three hundred three".

Divisors: 1 3 9 11 23 33 53 69 99 121 159 207 253 363 477 583 759 1089 1219 1749 2277 2783 3657 5247 6413 8349 10971 13409 19239 25047 40227 57717 120681 147499 442497 1327491 9826133 29478399 88435197 108087463 226001059 324262389 520785049 678003177 972787167 1188962093 1562355147 2034009531 2486011649 3566886279 4687065441 5728635539 7458034947 10700658837 11978056127 17185906617 22374104841 27346128139 35934168381 51557719851 63014990929 82038384417 107802505143 131758617397 189044972787 246115153251 395275852191 567134918361 1185827556573 1449344791367 4348034374101 13044103122303