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13140105 = 351197821
BaseRepresentation
bin110010001000…
…000010001001
3220201120211120
4302020002021
511330440410
61145345453
7216455226
oct62100211
926646746
1013140105
1174653a0
124498289
132950c14
141a6094d
151248570
hexc88089

13140105 has 32 divisors (see below), whose sum is σ = 23200128. Its totient is φ = 6297600.

The previous prime is 13140089. The next prime is 13140109. The reversal of 13140105 is 50104131.

It is not a de Polignac number, because 13140105 - 24 = 13140089 is a prime.

It is a super-2 number, since 2×131401052 = 345324718822050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (13140109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15595 + ... + 16415.

It is an arithmetic number, because the mean of its divisors is an integer number (725004).

Almost surely, 213140105 is an apocalyptic number.

13140105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13140105 is a deficient number, since it is larger than the sum of its proper divisors (10060023).

13140105 is a wasteful number, since it uses less digits than its factorization.

13140105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 13140105 is about 3624.9282751525. The cubic root of 13140105 is about 235.9751541880.

Adding to 13140105 its reverse (50104131), we get a palindrome (63244236).

The spelling of 13140105 in words is "thirteen million, one hundred forty thousand, one hundred five".

Divisors: 1 3 5 11 15 33 55 97 165 291 485 821 1067 1455 2463 3201 4105 5335 9031 12315 16005 27093 45155 79637 135465 238911 398185 876007 1194555 2628021 4380035 13140105