Search a number
-
+
13105332543015 = 32517179157960611
BaseRepresentation
bin1011111010110101001010…
…1100001101111000100111
31201101212011011021010100100
42332231102230031320213
53204204210112334030
643512301234315143
72521554233423466
oct276552254157047
951355134233310
1013105332543015
1141a2a38624339
121577a99428ab3
13740a9b1a9b4b
1433443138c9dd
1517ad76b14360
hexbeb52b0de27

13105332543015 has 96 divisors (see below), whose sum is σ = 24202226131200. Its totient is φ = 6537361628160.

The previous prime is 13105332542977. The next prime is 13105332543071. The reversal of 13105332543015 is 51034523350131.

13105332543015 is a `hidden beast` number, since 1 + 3 + 10 + 5 + 332 + 5 + 4 + 301 + 5 = 666.

It is not a de Polignac number, because 13105332543015 - 211 = 13105332540967 is a prime.

It is a congruent number.

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, 216190060 + ... + 216250670.

It is an arithmetic number, because the mean of its divisors is an integer number (252106522200).

Almost surely, 213105332543015 is an apocalyptic number.

13105332543015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13105332543015 is a deficient number, since it is larger than the sum of its proper divisors (11096893588185).

13105332543015 is a wasteful number, since it uses less digits than its factorization.

13105332543015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62397 (or 62394 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 13105332543015 its reverse (51034523350131), we get a palindrome (64139855893146).

The spelling of 13105332543015 in words is "thirteen trillion, one hundred five billion, three hundred thirty-two million, five hundred forty-three thousand, fifteen".

Divisors: 1 3 5 9 15 17 45 51 85 153 179 255 537 765 895 1579 1611 2685 3043 4737 7895 8055 9129 14211 15215 23685 26843 27387 45645 60611 71055 80529 134215 136935 181833 241587 282641 303055 402645 545499 847923 909165 1030387 1207935 1413205 2543769 2727495 3091161 4239615 4804897 5151935 9273483 10849369 12718845 14414691 15455805 24024485 32548107 43244073 46367415 54246845 72073455 95704769 97644321 162740535 184439273 216220365 287114307 478523845 488221605 553317819 861342921 922196365 1435571535 1626981073 1659953457 2766589095 4306714605 4880943219 8134905365 8299767285 14642829657 17131153651 24404716095 51393460953 73214148285 85655768255 154180382859 256967304765 291229612067 770901914295 873688836201 1456148060335 2621066508603 4368444181005 13105332543015