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13110320223 = 32711133721063
BaseRepresentation
bin11000011010110111…
…11001110001011111
31020211200101021100200
430031123321301133
5203322220221343
610004531354543
7642612611640
oct141533716137
936750337320
1013110320223
1156184856a0
12265a752a53
13130c1b9a40
148c52856c7
1551ae944d3
hex30d6f9c5f

13110320223 has 144 divisors (see below), whose sum is σ = 26156422656. Its totient is φ = 6111002880.

The previous prime is 13110320221. The next prime is 13110320227. The reversal of 13110320223 is 32202301131.

13110320223 is a `hidden beast` number, since 13 + 110 + 320 + 223 = 666.

It is not a de Polignac number, because 13110320223 - 21 = 13110320221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13110320196 and 13110320205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13110320221) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12332790 + ... + 12333852.

It is an arithmetic number, because the mean of its divisors is an integer number (181641824).

Almost surely, 213110320223 is an apocalyptic number.

13110320223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13110320223 is a deficient number, since it is larger than the sum of its proper divisors (13046102433).

13110320223 is a wasteful number, since it uses less digits than its factorization.

13110320223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13110320223 its reverse (32202301131), we get a palindrome (45312621354).

It can be divided in two parts, 13110 and 320223, that added together give a palindrome (333333).

The spelling of 13110320223 in words is "thirteen billion, one hundred ten million, three hundred twenty thousand, two hundred twenty-three".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 143 231 259 273 333 407 429 481 693 777 819 1001 1063 1221 1287 1369 1443 2331 2849 3003 3189 3367 3663 4107 4329 5291 7441 8547 9009 9567 9583 10101 11693 12321 13819 15059 15873 17797 22323 25641 28749 30303 35079 37037 39331 41457 45177 47619 53391 66969 81851 86247 96733 105237 105413 111111 117993 124371 124579 135531 152009 160173 195767 245553 275317 290199 316239 333333 353979 373737 432641 456027 511303 587301 736659 825951 870597 948717 1064063 1121211 1297923 1368081 1370369 1455247 1533909 1761903 2477853 3028487 3192189 3579121 3893769 4111107 4365741 4601727 5624333 9085461 9576567 10186729 10737363 12333321 13097223 16007717 16872999 18918211 27256383 30560187 32212089 39370331 48023151 50618997 56754633 91680561 112054019 118110993 132427477 144069453 170263899 208100321 336162057 354332979 397282431 624300963 1008486171 1191847293 1456702247 1872902889 4370106741 13110320223