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130190085729 = 34111729311953
BaseRepresentation
bin111100100111111101…
…1110000111001100001
3110110001011121121020000
41321033323300321201
54113112130220404
6135450345210213
712256142320104
oct1711773607141
9413034547200
10130190085729
1150238a00380
1221294490969
13c37a39a2b2
14643082a73b
1535be8b0339
hex1e4fef0e61

130190085729 has 160 divisors (see below), whose sum is σ = 233379843840. Its totient is φ = 71395430400.

The previous prime is 130190085721. The next prime is 130190085731. The reversal of 130190085729 is 927580091031.

It is not a de Polignac number, because 130190085729 - 23 = 130190085721 is a prime.

It is a super-2 number, since 2×1301900857292 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130190085721) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 136610317 + ... + 136611269.

It is an arithmetic number, because the mean of its divisors is an integer number (1458624024).

Almost surely, 2130190085729 is an apocalyptic number.

It is an amenable number.

130190085729 is a deficient number, since it is larger than the sum of its proper divisors (103189758111).

130190085729 is a wasteful number, since it uses less digits than its factorization.

130190085729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 130190085729 in words is "one hundred thirty billion, one hundred ninety million, eighty-five thousand, seven hundred twenty-nine".

Divisors: 1 3 9 11 17 27 29 33 51 81 87 99 153 187 261 297 311 319 459 493 561 783 891 933 953 957 1377 1479 1683 2349 2799 2859 2871 3421 4437 5049 5287 5423 8397 8577 8613 9019 10263 10483 13311 15147 15861 16201 16269 25191 25731 25839 27057 27637 30789 31449 39933 47583 48603 48807 58157 77193 81171 82911 92367 94347 99209 142749 145809 146421 153323 174471 178211 243513 248733 277101 283041 296383 297627 304007 428247 437427 439263 459969 469829 523413 534633 730539 746199 849123 889149 892881 912021 1312281 1379907 1409487 1570239 1603899 1686553 2238597 2667447 2678643 2736063 3260213 4139721 4228461 4710717 4811697 5038511 5059659 5168119 8002341 8035929 8208189 8595107 9780639 12419163 12685383 14435091 15115533 15178977 15504357 24007023 24624567 25785321 29341917 38056149 45346599 45536931 46513071 55423621 77355963 88025751 94546177 136039797 136610793 139539213 146116819 166270863 232067889 264077253 283638531 408119391 418617639 438350457 498812589 696203667 850915593 1315051371 1496437767 1607285009 2552746779 3945154113 4489313301 4821855027 7658240337 11835462339 14465565081 43396695243 130190085729