Search a number
-
+
130666886973 = 32717297241307
BaseRepresentation
bin111100110110001011…
…0100111011100111101
3110111021101210121120100
41321230112213130331
54120101210340343
6140005540511313
712304022133150
oct1715426473475
9414241717510
10130666886973
1150463062197
12213a80ab539
13c4250bbccc
146477ca3c97
1535eb6949d3
hex1e6c5a773d

130666886973 has 144 divisors (see below), whose sum is σ = 233218969984. Its totient is φ = 69035950080.

The previous prime is 130666886971. The next prime is 130666886981. The reversal of 130666886973 is 379688666031.

It is not a de Polignac number, because 130666886973 - 21 = 130666886971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 130666886973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130666886971) 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 143 ways as a sum of consecutive naturals, for example, 425624886 + ... + 425625192.

Almost surely, 2130666886973 is an apocalyptic number.

It is an amenable number.

130666886973 is a deficient number, since it is larger than the sum of its proper divisors (102552083011).

130666886973 is a wasteful number, since it uses less digits than its factorization.

130666886973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 130666886973 in words is "one hundred thirty billion, six hundred sixty-six million, eight hundred eighty-six thousand, nine hundred seventy-three".

Divisors: 1 3 7 9 17 21 51 63 97 119 153 241 289 291 307 357 679 723 867 873 921 1071 1649 1687 2023 2037 2149 2169 2601 2763 4097 4947 5061 5219 6069 6111 6447 11543 12291 14841 15183 15657 18207 19341 23377 28033 28679 29779 34629 36533 36873 46971 69649 70131 73987 84099 86037 88723 89337 103887 109599 163639 196231 208453 208947 210393 221961 252297 258111 266169 268011 328797 397409 487543 490917 506243 517909 588693 621061 625359 626841 665883 798507 1192227 1257779 1462629 1472751 1518729 1553727 1766079 1863183 1876077 2781863 3543701 3576681 3773337 4387887 4556187 4661181 5589549 6755953 7176739 8345589 8606131 8804453 10631103 11320011 20267859 21382243 21530217 25036767 25818393 26413359 31893309 47291671 50237173 60242917 60803577 64146729 64590651 77455179 79240077 122004563 141875013 149675701 150711519 180728751 192440187 366013689 425625039 449027103 452134557 542186253 854031941 1098041067 1347081309 2074077571 2562095823 6222232713 7686287469 14518542997 18666698139 43555628991 130666886973