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104010124311 = 321910146313007
BaseRepresentation
bin110000011011101111…
…1001000110000010111
3100221110122101202122100
41200313133020300113
53201003042434221
6115440453533143
710341316320012
oct1406737106027
9327418352570
10104010124311
1140124004925
12181a89441b3
139a67567472
14506988c379
152a8b30e926
hex18377c8c17

104010124311 has 48 divisors (see below), whose sum is σ = 160067082240. Its totient is φ = 64894737600.

The previous prime is 104010124289. The next prime is 104010124327. The reversal of 104010124311 is 113421010401.

104010124311 is a `hidden beast` number, since 10 + 401 + 0 + 1 + 243 + 11 = 666.

It is not a de Polignac number, because 104010124311 - 227 = 103875906583 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104010124111) 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 47 ways as a sum of consecutive naturals, for example, 7989970 + ... + 8002976.

It is an arithmetic number, because the mean of its divisors is an integer number (3334730880).

Almost surely, 2104010124311 is an apocalyptic number.

104010124311 is a deficient number, since it is larger than the sum of its proper divisors (56056957929).

104010124311 is a wasteful number, since it uses less digits than its factorization.

104010124311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13596 (or 13593 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 104010124311 its reverse (113421010401), we get a palindrome (217431134712).

The spelling of 104010124311 in words is "one hundred four billion, ten million, one hundred twenty-four thousand, three hundred eleven".

Divisors: 1 3 9 19 57 101 171 303 463 909 1389 1919 4167 5757 8797 13007 17271 26391 39021 46763 79173 117063 140289 247133 420867 741399 888497 1313707 2224197 2665491 3941121 6022241 7996473 11823363 18066723 24960433 54200169 74881299 114422579 224643897 343267737 608246341 1029803211 1824739023 5474217069 11556680479 34670041437 104010124311