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5005050601131 = 32721719127276671
BaseRepresentation
bin100100011010101010001…
…0000110101111010101011
3122201110220120201020200100
41020311110100311322223
51124000320423214011
614351142152240443
71024413551106600
oct110652420657253
918643816636610
105005050601131
11165a6a2645989
1268a0193a0123
132a3c8855ba49
1413436245a6a7
158a2d5d20d56
hex48d54435eab

5005050601131 has 144 divisors (see below), whose sum is σ = 9447042908160. Its totient is φ = 2530029841920.

The previous prime is 5005050601081. The next prime is 5005050601163. The reversal of 5005050601131 is 1311060505005.

5005050601131 is a `hidden beast` number, since 5 + 0 + 0 + 5 + 0 + 50 + 601 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 5005050601131 - 222 = 5005046406827 is a prime.

It is a super-2 number, since 2×50050506011312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5005050601095 and 5005050601104.

It is not an unprimeable number, because it can be changed into a prime (5005050605131) 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, 17951926 + ... + 18228596.

It is an arithmetic number, because the mean of its divisors is an integer number (65604464640).

Almost surely, 25005050601131 is an apocalyptic number.

5005050601131 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

5005050601131 is a deficient number, since it is larger than the sum of its proper divisors (4441992307029).

5005050601131 is a wasteful number, since it uses less digits than its factorization.

5005050601131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276854 (or 276844 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 5005050601131 in words is "five trillion, five billion, fifty million, six hundred one thousand, one hundred thirty-one".

Divisors: 1 3 7 9 17 19 21 49 51 57 63 119 127 133 147 153 171 323 357 381 399 441 833 889 931 969 1071 1143 1197 2159 2261 2413 2499 2667 2793 2907 6223 6477 6783 7239 7497 8001 8379 15113 15827 16891 18669 19431 20349 21717 41021 45339 47481 50673 56007 105791 118237 123063 136017 142443 152019 276671 287147 317373 354711 369189 830013 861441 952119 1064133 1936697 2010029 2490039 2584323 4703407 5256749 5810091 6030087 13556879 14110221 15770247 17430273 18090261 32923849 35137217 36797243 40670637 42330663 47310741 89364733 98771547 105411651 110391729 122011911 230466943 245960519 257580701 268094199 296314641 316234953 331175187 597332689 625553131 667607123 691400829 737881557 772742103 804282597 1721723633 1791998067 1876659393 2002821369 2074202487 2213644671 2318226309 4181328823 4378871917 4673249861 5165170899 5375994201 5629978179 6008464107 11349321091 12543986469 13136615751 14019749583 15495512697 29269301761 32712749027 34047963273 37631959407 39409847253 42059248749 79445247637 87807905283 98138247081 102143889819 238335742911 263423715849 294414741243 556116733459 715007228733 1668350200377 5005050601131