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13143300555105 = 32571912971693169
BaseRepresentation
bin1011111101000010100111…
…0000101100000101100001
31201112111011012202222110100
42333100221300230011201
53210314434420230410
643541540544453013
72524400145254340
oct277205160540541
951474135688410
1013143300555105
114208051577826
12158331491a169
1374453c2952a6
143361d3b35b57
1517bd4a01a8c0
hexbf429c2c161

13143300555105 has 96 divisors (see below), whose sum is σ = 27427728556800. Its totient is φ = 5687744126976.

The previous prime is 13143300555079. The next prime is 13143300555113. The reversal of 13143300555105 is 50155500334131.

13143300555105 is a `hidden beast` number, since 1 + 31 + 43 + 30 + 0 + 5 + 551 + 0 + 5 = 666.

It is not a de Polignac number, because 13143300555105 - 210 = 13143300554081 is a prime.

It is a super-2 number, since 2×131433005551052 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13143300555105.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6915961 + ... + 8609129.

It is an arithmetic number, because the mean of its divisors is an integer number (285705505800).

Almost surely, 213143300555105 is an apocalyptic number.

13143300555105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13143300555105 is an abundant number, since it is smaller than the sum of its proper divisors (14284428001695).

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

13143300555105 is a wasteful number, since it uses less digits than its factorization.

13143300555105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694503 (or 1694500 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

Adding to 13143300555105 its reverse (50155500334131), we get a palindrome (63298800889236).

The spelling of 13143300555105 in words is "thirteen trillion, one hundred forty-three billion, three hundred million, five hundred fifty-five thousand, one hundred five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1297 1995 3891 5985 6485 9079 11673 19455 24643 27237 45395 58365 73929 81711 123215 136185 172501 221787 369645 408555 517503 862505 1108935 1552509 1693169 2587515 5079507 7762545 8465845 11852183 15238521 25397535 32170211 35556549 59260915 76192605 96510633 106669647 160851055 177782745 225191477 289531899 482553165 533348235 675574431 1125957385 1447659495 2026723293 2196040193 3377872155 6588120579 10133616465 10980200965 15372281351 19764361737 32940602895 41724763667 46116844053 76861406755 98821808685 125174291001 138350532159 208623818335 230584220265 292073345669 375522873003 625871455005 691752660795 876220037007 1460366728345 1877614365015 2628660111021 4381100185035 13143300555105