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13105332134115 = 3513222130259717
BaseRepresentation
bin1011111010110101001010…
…1010101010000011100011
31201101212011010111100102220
42332231102222222003203
53204204210011242430
643512301221442123
72521554230101404
oct276552252520343
951355133440386
1013105332134115
1141a2a38375101
121577a99270343
13740a9b0959b0
143344312c39ab
1517ad76a83110
hexbeb52aaa0e3

13105332134115 has 32 divisors (see below), whose sum is σ = 22591663381056. Its totient is φ = 6448950673920.

The previous prime is 13105332134047. The next prime is 13105332134129. The reversal of 13105332134115 is 51143123350131.

It is not a de Polignac number, because 13105332134115 - 212 = 13105332130019 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14696764 + ... + 15562953.

It is an arithmetic number, because the mean of its divisors is an integer number (705989480658).

Almost surely, 213105332134115 is an apocalyptic number.

13105332134115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13105332134115 is a deficient number, since it is larger than the sum of its proper divisors (9486331246941).

13105332134115 is a wasteful number, since it uses less digits than its factorization.

13105332134115 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30261959.

The product of its (nonzero) digits is 16200, while the sum is 33.

Adding to 13105332134115 its reverse (51143123350131), we get a palindrome (64248455484246).

The spelling of 13105332134115 in words is "thirteen trillion, one hundred five billion, three hundred thirty-two million, one hundred thirty-four thousand, one hundred fifteen".

Divisors: 1 3 5 13 15 39 65 195 2221 6663 11105 28873 33315 86619 144365 433095 30259717 90779151 151298585 393376321 453895755 1180128963 1966881605 5900644815 67206831457 201620494371 336034157285 873688808941 1008102471855 2621066426823 4368444044705 13105332134115