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10813145343 = 37111367223241
BaseRepresentation
bin10100001001000001…
…11000000011111111
31000220120211200211120
422010200320003333
5134121131122333
64544551122023
7531650135040
oct120440700377
930816750746
1010813145343
114649814160
122119373313
1310342c3770
147481508c7
1543447edb3
hex2848380ff

10813145343 has 128 divisors (see below), whose sum is σ = 19816710144. Its totient is φ = 5063731200.

The previous prime is 10813145311. The next prime is 10813145351. The reversal of 10813145343 is 34354131801.

It is not a de Polignac number, because 10813145343 - 25 = 10813145311 is a prime.

It is a super-2 number, since 2×108131453432 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10813145353) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44867703 + ... + 44867943.

It is an arithmetic number, because the mean of its divisors is an integer number (154818048).

Almost surely, 210813145343 is an apocalyptic number.

10813145343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10813145343 is a deficient number, since it is larger than the sum of its proper divisors (9003564801).

10813145343 is a wasteful number, since it uses less digits than its factorization.

10813145343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565.

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 10813145343 in words is "ten billion, eight hundred thirteen million, one hundred forty-five thousand, three hundred forty-three".

Divisors: 1 3 7 11 13 21 33 39 67 77 91 143 201 223 231 241 273 429 469 669 723 737 871 1001 1407 1561 1687 2211 2453 2613 2651 2899 3003 3133 4683 5061 5159 6097 7359 7953 8697 9399 9581 14941 15477 16147 17171 18291 18557 20293 21931 28743 31889 34463 44823 48441 51513 53743 55671 60879 65793 67067 95667 103389 104587 113029 161229 164351 177617 194233 201201 209911 223223 241241 313761 339087 376201 493053 532851 582699 591173 629733 669669 698659 723723 1128603 1150457 1243319 1359631 1469377 1773519 2095977 2136563 2309021 3451371 3600781 3729957 4078893 4138211 4408131 4890613 6409689 6927063 7685249 10802343 12414633 14671839 14955941 16163147 23055747 25205467 39608591 44867823 46810153 48489441 53796743 75616401 118825773 140430459 161390229 277260137 327671071 514911683 831780411 983013213 1544735049 3604381781 10813145343