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13130000040010 = 2572172347267203
BaseRepresentation
bin1011111100010001000011…
…1111010000000001001010
31201111012211021111210210011
42333010100333100001022
53210110220002240020
643531501100342134
72523416432613400
oct277042077200112
951435737453704
1013130000040010
1142024467a6997
12158082254494a
137431cc875209
143356d1501470
1517b81c50735a
hexbf110fd004a

13130000040010 has 144 divisors (see below), whose sum is σ = 29289228714144. Its totient is φ = 4224681656832.

The previous prime is 13130000039969. The next prime is 13130000040019. The reversal of 13130000040010 is 1004000003131.

It is not an unprimeable number, because it can be changed into a prime (13130000040019) 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 71 ways as a sum of consecutive naturals, for example, 49005069 + ... + 49272271.

It is an arithmetic number, because the mean of its divisors is an integer number (203397421626).

Almost surely, 213130000040010 is an apocalyptic number.

13130000040010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13130000040010 is an abundant number, since it is smaller than the sum of its proper divisors (16159228674134).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13130000040010 is a wasteful number, since it uses less digits than its factorization.

13130000040010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267605 (or 267581 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13130000040010 its reverse (1004000003131), we get a palindrome (14134000043141).

The spelling of 13130000040010 in words is "thirteen trillion, one hundred thirty billion, forty thousand, ten".

Divisors: 1 2 5 7 10 14 17 34 35 49 70 85 98 119 170 238 245 289 347 490 578 595 694 833 1190 1445 1666 1735 2023 2429 2890 3470 4046 4165 4858 5899 8330 10115 11798 12145 14161 17003 20230 24290 28322 29495 34006 41293 58990 70805 82586 85015 100283 141610 170030 200566 206465 267203 289051 412930 501415 534406 578102 701981 1002830 1336015 1403962 1445255 1870421 2672030 2890510 3509905 3740842 4542451 4913867 7019810 9084902 9352105 9827734 13092947 18704210 22712255 24569335 26185894 31797157 45424510 49138670 63594314 65464735 77221667 92719441 130929470 154443334 158985785 185438882 222580099 317971570 386108335 445160198 463597205 540551669 649036087 772216670 927194410 1081103338 1112900495 1298072174 1576230497 2225800990 2702758345 3152460994 3245180435 3783861683 4543252609 5405516690 6490360870 7567723366 7881152485 9086505218 11033613479 15762304970 18919308415 22067226958 22716263045 26795918449 37838616830 45432526090 53591836898 55168067395 77235294353 110336134790 133979592245 154470588706 187571429143 267959184490 375142858286 386176471765 772352943530 937857145715 1313000004001 1875714291430 2626000008002 6565000020005 13130000040010