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130146026036661 = 34375950311231303
BaseRepresentation
bin11101100101110111111011…
…101001101001110110110101
3122001210211122022202112210000
4131211313323221221312311
5114024303030131133121
61140444131534421513
736261511564426665
oct3545677351516665
9561724568675700
10130146026036661
113851768a885958
121271b208961899
13578094372ac3b
14241d15bc561a5
15100a5e4347526
hex765dfba69db5

130146026036661 has 160 divisors (see below), whose sum is σ = 203795531089920. Its totient is φ = 82685967509376.

The previous prime is 130146026036651. The next prime is 130146026036669. The reversal of 130146026036661 is 166630620641031.

It is not a de Polignac number, because 130146026036661 - 29 = 130146026036149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130146026036669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 99881830536 + ... + 99881831838.

It is an arithmetic number, because the mean of its divisors is an integer number (1273722069312).

Almost surely, 2130146026036661 is an apocalyptic number.

It is an amenable number.

130146026036661 is a deficient number, since it is larger than the sum of its proper divisors (73649505053259).

130146026036661 is a wasteful number, since it uses less digits than its factorization.

130146026036661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

Adding to 130146026036661 its reverse (166630620641031), we get a palindrome (296776646677692).

The spelling of 130146026036661 in words is "one hundred thirty trillion, one hundred forty-six billion, twenty-six million, thirty-six thousand, six hundred sixty-one".

Divisors: 1 3 9 27 37 59 81 111 177 333 503 531 999 1123 1303 1509 1593 2183 2997 3369 3909 4527 4779 6549 10107 11727 13581 18611 19647 29677 30321 35181 40743 41551 48211 55833 58941 66257 76877 89031 90963 105543 124653 144633 167499 176823 198771 230631 267093 373959 433899 502497 564869 596313 655409 691893 801279 1098049 1121877 1301697 1463269 1507491 1694607 1788939 1966227 2075679 2403837 2451509 2844449 3294147 3365631 3905091 4389807 5083821 5366817 5898681 6227037 7354527 8533347 9882441 13169421 15251463 17696043 20900153 22063581 24250133 25600041 29647323 33327271 38669131 39508263 45754389 53088129 54140953 62700459 66190743 72750399 76800123 86332871 88941969 99981813 116007393 118524789 162422859 188101377 198572229 218251197 230400369 258998613 299945439 348022179 487268577 564304131 654753591 736024307 776995839 899836317 1044066537 1233109027 1430757847 1461805731 1692912393 1964260773 2208072921 2330987517 2699508951 3132199611 3194316227 3699327081 4292273541 4385417193 6624218763 6992962551 9582948681 11097981243 12876820623 19872656289 27232899359 28748846043 33293943729 38630461869 43425434113 59617968867 81698698077 86246538129 99881831187 115891385607 130276302339 245096094231 258739614387 390828907017 735288282693 1172486721051 1606741062181 2205864848079 3517460163153 4820223186543 14460669559629 43382008678887 130146026036661