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131314105 = 5137432719
BaseRepresentation
bin1111101001110…
…11000110111001
3100011002110002101
413310323012321
5232104022410
621010303401
73153102646
oct764730671
9304073071
10131314105
116813a25a
1237b87b61
1321288970
1413622dcd
15b7dcd3a
hex7d3b1b9

131314105 has 16 divisors (see below), whose sum is σ = 169989120. Its totient is φ = 96804288.

The previous prime is 131314081. The next prime is 131314123. The reversal of 131314105 is 501413131.

It is a cyclic number.

It is not a de Polignac number, because 131314105 - 27 = 131313977 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46936 + ... + 49654.

It is an arithmetic number, because the mean of its divisors is an integer number (10624320).

Almost surely, 2131314105 is an apocalyptic number.

It is an amenable number.

131314105 is a deficient number, since it is larger than the sum of its proper divisors (38675015).

131314105 is a wasteful number, since it uses less digits than its factorization.

131314105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 131314105 is about 11459.2366674225. The cubic root of 131314105 is about 508.2809028309.

Adding to 131314105 its reverse (501413131), we get a palindrome (632727236).

The spelling of 131314105 in words is "one hundred thirty-one million, three hundred fourteen thousand, one hundred five".

Divisors: 1 5 13 65 743 2719 3715 9659 13595 35347 48295 176735 2020217 10101085 26262821 131314105