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513231130643 = 721137671013803
BaseRepresentation
bin1110111011111101111…
…01011001000000010011
31211001201221220210100012
413131332331121000103
531402044132140033
61031435232145135
752036226426300
oct7357675310023
91731657823305
10513231130643
11188729658810
12835740981ab
133952238656a
141abaa5560a7
15d53c4dd248
hex777ef59013

513231130643 has 96 divisors (see below), whose sum is σ = 685787067648. Its totient is φ = 379409184000.

The previous prime is 513231130567. The next prime is 513231130663. The reversal of 513231130643 is 346031132315.

It is not a de Polignac number, because 513231130643 - 212 = 513231126547 is a prime.

It is a super-2 number, since 2×5132311306432 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513231130663) 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 95 ways as a sum of consecutive naturals, for example, 134952380 + ... + 134956182.

It is an arithmetic number, because the mean of its divisors is an integer number (7143615288).

Almost surely, 2513231130643 is an apocalyptic number.

513231130643 is a deficient number, since it is larger than the sum of its proper divisors (172555937005).

513231130643 is a wasteful number, since it uses less digits than its factorization.

513231130643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4033 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

Adding to 513231130643 its reverse (346031132315), we get a palindrome (859262262958).

The spelling of 513231130643 in words is "five hundred thirteen billion, two hundred thirty-one million, one hundred thirty thousand, six hundred forty-three".

Divisors: 1 7 11 37 49 67 77 101 259 407 469 539 707 737 1111 1813 2479 2849 3283 3737 3803 4949 5159 6767 7777 17353 19943 26159 26621 27269 36113 41107 41833 47369 54439 74437 121471 140711 183113 186347 190883 250379 254801 287749 292831 331583 384103 521059 984977 1336181 1547821 1752653 1783607 2014243 2049817 2688721 2754169 2802811 3647413 4225133 6894839 9427637 10834747 12268571 12485249 14211811 18821047 19279183 19619677 25734901 29575931 65993459 75843229 99482677 103704007 134954281 137337739 156329921 180144307 207031517 283083911 461954213 696378739 725928049 952191337 1094309447 1261010149 1981587377 5081496343 6665339359 7660166129 10474104707 13871111639 46657375513 73318732949 513231130643