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104142100041 = 3271653049207
BaseRepresentation
bin110000011111101011…
…0100101011001001001
3100221210211201211022100
41200333112211121021
53201240334200131
6115501530344013
710344511146630
oct1407726453111
9327724654270
10104142100041
1140191556181
1218224b8b009
139a889c5305
14507d204517
152a97bcd7e6
hex183f5a5649

104142100041 has 12 divisors (see below), whose sum is σ = 171917117632. Its totient is φ = 59509771416.

The previous prime is 104142100037. The next prime is 104142100057. The reversal of 104142100041 is 140001241401.

104142100041 is a `hidden beast` number, since 1 + 0 + 414 + 210 + 0 + 0 + 41 = 666.

It is not a de Polignac number, because 104142100041 - 22 = 104142100037 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 104142099987 and 104142100023.

It is not an unprimeable number, because it can be changed into a prime (104142100141) 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 11 ways as a sum of consecutive naturals, for example, 826524541 + ... + 826524666.

Almost surely, 2104142100041 is an apocalyptic number.

It is an amenable number.

104142100041 is a deficient number, since it is larger than the sum of its proper divisors (67775017591).

104142100041 is a wasteful number, since it uses less digits than its factorization.

104142100041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653049220 (or 1653049217 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 104142100041 its reverse (140001241401), we get a palindrome (244143341442).

The spelling of 104142100041 in words is "one hundred four billion, one hundred forty-two million, one hundred thousand, forty-one".

Divisors: 1 3 7 9 21 63 1653049207 4959147621 11571344449 14877442863 34714033347 104142100041