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12053044003 = 7111321929412
BaseRepresentation
bin10110011100110101…
…01101101100100011
31011002222221002001011
423032122231230203
5144141034402003
65312002321351
7604454116660
oct131632555443
934088832034
1012053044003
1151256a13a0
122404659257
1311a1147600
14824aa8a67
154a824c46d
hex2ce6adb23

12053044003 has 144 divisors (see below), whose sum is σ = 18161798400. Its totient is φ = 7736601600.

The previous prime is 12053043931. The next prime is 12053044009. The reversal of 12053044003 is 30044035021.

It is not a de Polignac number, because 12053044003 - 225 = 12019489571 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12053044009) 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 143 ways as a sum of consecutive naturals, for example, 293976663 + ... + 293976703.

It is an arithmetic number, because the mean of its divisors is an integer number (126123600).

Almost surely, 212053044003 is an apocalyptic number.

12053044003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12053044003 is a deficient number, since it is larger than the sum of its proper divisors (6108754397).

12053044003 is a wasteful number, since it uses less digits than its factorization.

12053044003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

Adding to 12053044003 its reverse (30044035021), we get a palindrome (42097079024).

The spelling of 12053044003 in words is "twelve billion, fifty-three million, forty-four thousand, three".

Divisors: 1 7 11 13 19 29 41 77 91 133 143 169 203 209 247 287 319 377 451 533 551 779 1001 1183 1189 1463 1681 1729 1859 2233 2639 2717 3157 3211 3731 3857 4147 4901 5453 5863 6061 6929 7163 8323 8569 10127 11767 13013 13079 15457 18491 19019 21853 22477 22591 29029 31939 34307 35321 41041 42427 48503 48749 50141 53911 59983 70889 76219 78793 91553 93119 108199 111397 129437 131651 152971 158137 170027 200941 223573 240383 247247 248501 284089 293683 341243 351329 377377 415207 533533 536239 551551 633737 651833 779779 921557 926231 1024309 1190189 1406587 1448161 1682681 1739507 1988623 2055781 2210351 2459303 2906449 3124979 3230513 3753673 3817879 4436159 4567277 5397691 6483617 6971107 7170163 8238581 10137127 10188541 12041003 15472457 21874853 22613591 26725153 31970939 37783837 41996669 48797749 57670067 59374601 71319787 84287021 90624391 132451033 156533039 293976683 415622207 634370737 927157231 1095731273 1721863429 12053044003