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104142241401 = 31123710176771
BaseRepresentation
bin110000011111101011…
…1000111111001111001
3100221210212000000012220
41200333113013321321
53201240403211101
6115501533354253
710344512306022
oct1407727077171
9327725000186
10104142241401
1140191642400
1218225038989
139a88a44763
14507d23dc49
152a97c0a636
hex183f5c7e79

104142241401 has 48 divisors (see below), whose sum is σ = 158306320704. Its totient is φ = 60801840000.

The previous prime is 104142241391. The next prime is 104142241447.

104142241401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 104142241401 - 211 = 104142239353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104142241481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1318146 + ... + 1394916.

It is an arithmetic number, because the mean of its divisors is an integer number (3298048348).

Almost surely, 2104142241401 is an apocalyptic number.

104142241401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104142241401 is a deficient number, since it is larger than the sum of its proper divisors (54164079303).

104142241401 is a wasteful number, since it uses less digits than its factorization.

104142241401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76934 (or 76923 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 104142 and 241401, that added together give a palindrome (345543).

The spelling of 104142241401 in words is "one hundred four billion, one hundred forty-two million, two hundred forty-one thousand, four hundred one".

Divisors: 1 3 11 33 37 101 111 121 303 363 407 1111 1221 3333 3737 4477 11211 12221 13431 36663 41107 76771 123321 230313 452177 844481 1356531 2533443 2840527 7753871 8521581 9289291 23261613 27867873 31245797 85292581 93737391 255877743 286893227 343703767 860679681 938218391 1031111301 2814655173 3155825497 9467476491 34714080467 104142241401