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104101123140 = 223257223370493
BaseRepresentation
bin110000011110011101…
…0010001010001000100
3100221200222121222120100
41200330322101101010
53201144341420030
6115453504204100
710343502642510
oct1407472212104
9327628558510
10104101123140
1140170408673
1218213309630
139a80378c21
1450779b9140
152a942d7360
hex183ce91444

104101123140 has 144 divisors (see below), whose sum is σ = 362503185408. Its totient is φ = 23687776512.

The previous prime is 104101123127. The next prime is 104101123171. The reversal of 104101123140 is 41321101401.

104101123140 is a `hidden beast` number, since 1 + 0 + 410 + 112 + 3 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95734 + ... + 466226.

It is an arithmetic number, because the mean of its divisors is an integer number (2517383232).

Almost surely, 2104101123140 is an apocalyptic number.

104101123140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104101123140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181251592704).

104101123140 is an abundant number, since it is smaller than the sum of its proper divisors (258402062268).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104101123140 is a wasteful number, since it uses less digits than its factorization.

104101123140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370738 (or 370733 counting only the distinct ones).

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

Adding to 104101123140 its reverse (41321101401), we get a palindrome (145422224541).

The spelling of 104101123140 in words is "one hundred four billion, one hundred one million, one hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 223 252 315 420 446 630 669 892 1115 1260 1338 1561 2007 2230 2676 3122 3345 4014 4460 4683 6244 6690 7805 8028 9366 10035 13380 14049 15610 18732 20070 23415 28098 31220 40140 46830 56196 70245 93660 140490 280980 370493 740986 1111479 1481972 1852465 2222958 2593451 3334437 3704930 4445916 5186902 5557395 6668874 7409860 7780353 10373804 11114790 12967255 13337748 15560706 16672185 22229580 23341059 25934510 31121412 33344370 38901765 46682118 51869020 66688740 77803530 82619939 93364236 116705295 155607060 165239878 233410590 247859817 330479756 413099695 466821180 495719634 578339573 743579451 826199390 991439268 1156679146 1239299085 1487158902 1652398780 1735018719 2313358292 2478598170 2891697865 2974317804 3470037438 3717897255 4957196340 5205056157 5783395730 6940074876 7435794510 8675093595 10410112314 11566791460 14871589020 17350187190 20820224628 26025280785 34700374380 52050561570 104101123140