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104131542113 = 7313723814373
BaseRepresentation
bin110000011111010111…
…0010011110001100001
3100221210002212102112222
41200332232103301201
53201230133321423
6115500512200425
710344322334534
oct1407656236141
9327702772488
10104131542113
11401865a4915
1218221539115
139a86769811
14507ba56a1b
152a96ce53c8
hex183eb93c61

104131542113 has 16 divisors (see below), whose sum is σ = 106397480016. Its totient is φ = 101889285120.

The previous prime is 104131542091. The next prime is 104131542199. The reversal of 104131542113 is 311245131401.

It can be written as a sum of positive squares in 8 ways, for example, as 7031996449 + 97099545664 = 83857^2 + 311608^2 .

It is a cyclic number.

It is not a de Polignac number, because 104131542113 - 210 = 104131541089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104131542413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23810195 + ... + 23814567.

It is an arithmetic number, because the mean of its divisors is an integer number (6649842501).

Almost surely, 2104131542113 is an apocalyptic number.

It is an amenable number.

104131542113 is a deficient number, since it is larger than the sum of its proper divisors (2265937903).

104131542113 is a wasteful number, since it uses less digits than its factorization.

104131542113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6964.

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 104131542113 its reverse (311245131401), we get a palindrome (415376673514).

The spelling of 104131542113 in words is "one hundred four billion, one hundred thirty-one million, five hundred forty-two thousand, one hundred thirteen".

Divisors: 1 73 137 2381 4373 10001 173813 319229 326197 599101 10412113 23812381 43734373 760084249 1426459481 104131542113