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104124421401 = 371113731373467
BaseRepresentation
bin110000011111001001…
…1001001010100011001
3100221202121110122202220
41200332103021110121
53201221322441101
6115500055414253
710344204656460
oct1407623112431
9327677418686
10104124421401
1140182580a30
121821b084389
139a85145690
14507ab219d7
152a9638a636
hex183e4c9519

104124421401 has 128 divisors (see below), whose sum is σ = 190392201216. Its totient is φ = 48872263680.

The previous prime is 104124421397. The next prime is 104124421447.

104124421401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 104124421401 - 22 = 104124421397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104124421601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30031270 + ... + 30034736.

It is an arithmetic number, because the mean of its divisors is an integer number (1487439072).

Almost surely, 2104124421401 is an apocalyptic number.

104124421401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104124421401 is a deficient number, since it is larger than the sum of its proper divisors (86267779815).

104124421401 is a wasteful number, since it uses less digits than its factorization.

104124421401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3711.

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

It can be divided in two parts, 104124 and 421401, that added together give a palindrome (525525).

The spelling of 104124421401 in words is "one hundred four billion, one hundred twenty-four million, four hundred twenty-one thousand, four hundred one".

Divisors: 1 3 7 11 13 21 33 39 73 77 91 137 143 219 231 273 411 429 511 803 949 959 1001 1507 1533 1781 2409 2847 2877 3003 3467 4521 5343 5621 6643 10001 10401 10439 10549 12467 16863 19591 19929 24269 30003 31317 31647 37401 38137 45071 58773 70007 72807 73073 110011 114411 130013 135213 137137 210021 219219 253091 266959 315497 330033 390039 411411 474979 495781 759273 770077 800877 910091 946491 1424937 1430143 1487343 1771637 2310231 2730273 2784001 3290183 3324853 3470467 4290429 5224769 5314911 6174727 8352003 9870549 9974559 10011001 10411401 15674307 18524181 19488007 23031281 30033003 34673467 36192013 36573383 43223089 58464021 67921997 69093843 104020401 108576039 109720149 129669267 203765991 242714269 253344091 381408137 450755071 475453979 728142807 760032273 1144224411 1352265213 1426361937 2669856959 3155285497 4958305781 8009570877 9465856491 14874917343 34708140467 104124421401