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142013105 = 513731732
BaseRepresentation
bin10000111011011…
…11001010110001
3100220020000100122
420131233022301
5242323404410
622031500025
73343043243
oct1035571261
9326200318
10142013105
1173187603
123b687615
1323563730
1414c0a093
15c702e55
hex876f2b1

142013105 has 24 divisors (see below), whose sum is σ = 187120248. Its totient is φ = 102836736.

The previous prime is 142013099. The next prime is 142013107. The reversal of 142013105 is 501310241.

It can be written as a sum of positive squares in 12 ways, for example, as 2961841 + 139051264 = 1721^2 + 11792^2 .

It is a de Polignac number, because none of the positive numbers 2k-142013105 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (142013107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 820799 + ... + 820971.

It is an arithmetic number, because the mean of its divisors is an integer number (7796677).

Almost surely, 2142013105 is an apocalyptic number.

It is an amenable number.

142013105 is a deficient number, since it is larger than the sum of its proper divisors (45107143).

142013105 is an equidigital number, since it uses as much as digits as its factorization.

142013105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 142013105 is about 11916.9251487118. The cubic root of 142013105 is about 521.7263934627.

Adding to 142013105 its reverse (501310241), we get a palindrome (643323346).

The spelling of 142013105 in words is "one hundred forty-two million, thirteen thousand, one hundred five".

Divisors: 1 5 13 65 73 173 365 865 949 2249 4745 11245 12629 29929 63145 149645 164177 389077 820885 1945385 2184817 10924085 28402621 142013105