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104004414131 = 3116632017427
BaseRepresentation
bin110000011011100100…
…1010110101010110011
3100221110020122122202012
41200313021112222303
53201000112223011
6115440131313135
710341216635162
oct1406711265263
9327406578665
10104004414131
1140120864772
12181a6a4b7ab
139a66318367
145068c033d9
152a8aa82a8b
hex1837256ab3

104004414131 has 8 divisors (see below), whose sum is σ = 107424006144. Its totient is φ = 100588860360.

The previous prime is 104004414091. The next prime is 104004414139. The reversal of 104004414131 is 131414400401.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104004414131 is a prime.

It is a super-2 number, since 2×1040044141312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 104004414097 and 104004414106.

It is not an unprimeable number, because it can be changed into a prime (104004414139) 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 7 ways as a sum of consecutive naturals, for example, 957161 + ... + 1060266.

It is an arithmetic number, because the mean of its divisors is an integer number (13428000768).

Almost surely, 2104004414131 is an apocalyptic number.

104004414131 is a deficient number, since it is larger than the sum of its proper divisors (3419592013).

104004414131 is a wasteful number, since it uses less digits than its factorization.

104004414131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019121.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 104004414131 its reverse (131414400401), we get a palindrome (235418814532).

The spelling of 104004414131 in words is "one hundred four billion, four million, four hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 31 1663 51553 2017427 62540237 3354981101 104004414131