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131330533030515 = 3457138940038637
BaseRepresentation
bin11101110111000111000101…
…110001001111101001110011
3122020000002001122122101210000
4131313013011301033221303
5114203204412423434030
61143152225230241043
736443214015645630
oct3567070561175163
9566002048571700
10131330533030515
1138933a6a130135
12128908a1956183
1358385542c2c90
1424606088a5187
15102b31dcd7860
hex7771c5c4fa73

131330533030515 has 160 divisors (see below), whose sum is σ = 293005955975040. Its totient is φ = 54795916302336.

The previous prime is 131330533030507. The next prime is 131330533030549. The reversal of 131330533030515 is 515030335033131.

131330533030515 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 0 + 5 + 330 + 305 + 15 = 666.

It is not a de Polignac number, because 131330533030515 - 23 = 131330533030507 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131330533030515.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16739224 + ... + 23299413.

It is an arithmetic number, because the mean of its divisors is an integer number (1831287224844).

Almost surely, 2131330533030515 is an apocalyptic number.

131330533030515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131330533030515 is an abundant number, since it is smaller than the sum of its proper divisors (161675422944525).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131330533030515 is a wasteful number, since it uses less digits than its factorization.

131330533030515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40038763 (or 40038754 counting only the distinct ones).

The product of its (nonzero) digits is 91125, while the sum is 36.

Adding to 131330533030515 its reverse (515030335033131), we get a palindrome (646360868063646).

The spelling of 131330533030515 in words is "one hundred thirty-one trillion, three hundred thirty billion, five hundred thirty-three million, thirty thousand, five hundred fifteen".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 89 91 105 117 135 189 195 267 273 315 351 405 445 455 567 585 623 801 819 945 1053 1157 1335 1365 1755 1869 2403 2457 2835 3115 3471 4005 4095 5265 5607 5785 7209 7371 8099 9345 10413 12015 12285 16821 17355 24297 28035 31239 36045 36855 40495 50463 52065 72891 84105 93717 121485 156195 218673 252315 364455 468585 656019 1093365 3280095 40038637 120115911 200193185 280270459 360347733 520502281 600579555 840811377 1081043199 1401352295 1561506843 1801738665 2522434131 2602511405 3243129597 3563438693 3643515967 4204056885 4684520529 5405215995 7567302393 7807534215 10690316079 10930547901 12612170655 14053561587 16215647985 17817193465 18217579835 22701907179 23422602645 24944070851 32070948237 32791643703 37836511965 42160684761 46324703009 53451580395 54652739505 70267807935 74832212553 96212844711 98374931109 113509535895 124720354255 138974109027 160354741185 163958218515 210803423805 224496637659 231623515045 288638534133 295124793327 324272921063 374161062765 416922327081 481064223555 491874655545 673489912977 694870545135 972818763189 1122483188295 1250766981243 1443192670665 1475623966635 1621364605315 2020469738931 2084611635405 2918456289567 3367449564885 3752300943729 4864093815945 6253834906215 8755368868701 10102348694655 14592281447835 18761504718645 26266106606103 43776844343505 131330533030515