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13105332143145 = 32511252110501951
BaseRepresentation
bin1011111010110101001010…
…1010101100010000101001
31201101212011010111210211100
42332231102222230100221
53204204210012040040
643512301221552013
72521554230136624
oct276552252542051
951355133453740
1013105332143145
1141a2a38380970
121577a99275609
13740a9b099b38
143344312c6dbb
1517ad76a85b30
hexbeb52aac429

13105332143145 has 48 divisors (see below), whose sum is σ = 24790823875584. Its totient is φ = 6351579360000.

The previous prime is 13105332143119. The next prime is 13105332143159. The reversal of 13105332143145 is 54134123350131.

13105332143145 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 5 + 332 + 1 + 4 + 314 + 5 = 666.

13105332143145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-13105332143145 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4003081 + ... + 6498870.

It is an arithmetic number, because the mean of its divisors is an integer number (516475497408).

Almost surely, 213105332143145 is an apocalyptic number.

13105332143145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13105332143145 is a deficient number, since it is larger than the sum of its proper divisors (11685491732439).

13105332143145 is a wasteful number, since it uses less digits than its factorization.

13105332143145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10504494 (or 10504491 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 13105332143145 its reverse (54134123350131), we get a palindrome (67239455493276).

The spelling of 13105332143145 in words is "thirteen trillion, one hundred five billion, three hundred thirty-two million, one hundred forty-three thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 2521 7563 12605 22689 27731 37815 83193 113445 138655 249579 415965 1247895 10501951 31505853 52509755 94517559 115521461 157529265 346564383 472587795 577607305 1039693149 1732821915 5198465745 26475418471 79426255413 132377092355 238278766239 291229603181 397131277065 873688809543 1191393831195 1456148015905 2621066428629 4368444047715 13105332143145