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104141130100 = 225275915716061
BaseRepresentation
bin110000011111101001…
…0111000100101110100
3100221210202220112210121
41200333102320211310
53201240112130400
6115501453501324
710344500000050
oct1407722704564
9327722815717
10104141130100
1140190a53477
12182247a1844
139a88745997
14507d030c60
152a97a8b21a
hex183f4b8974

104141130100 has 144 divisors (see below), whose sum is σ = 264336831360. Its totient is φ = 34874611200.

The previous prime is 104141130089. The next prime is 104141130187. The reversal of 104141130100 is 1031141401.

It is a congruent number.

It is an unprimeable number.

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, 6476070 + ... + 6492130.

It is an arithmetic number, because the mean of its divisors is an integer number (1835672440).

Almost surely, 2104141130100 is an apocalyptic number.

104141130100 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 104141130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132168415680).

104141130100 is an abundant number, since it is smaller than the sum of its proper divisors (160195701260).

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

104141130100 is a wasteful number, since it uses less digits than its factorization.

104141130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16298 (or 16291 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 104141130100 its reverse (1031141401), we get a palindrome (105172271501).

The spelling of 104141130100 in words is "one hundred four billion, one hundred forty-one million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 59 70 100 118 140 157 175 236 295 314 350 413 590 628 700 785 826 1099 1180 1475 1570 1652 2065 2198 2950 3140 3925 4130 4396 5495 5900 7850 8260 9263 10325 10990 15700 16061 18526 20650 21980 27475 32122 37052 41300 46315 54950 64244 64841 80305 92630 109900 112427 129682 160610 185260 224854 231575 259364 321220 324205 401525 449708 463150 562135 648410 803050 926300 947599 1124270 1296820 1606100 1621025 1895198 2248540 2521577 2810675 3242050 3790396 4737995 5043154 5621350 6484100 6633193 9475990 10086308 11242700 12607885 13266386 17651039 18951980 23689975 25215770 26532772 33165965 35302078 47379950 50431540 63039425 66331930 70604156 88255195 94759900 126078850 132663860 148773043 165829825 176510390 252157700 297546086 331659650 353020780 441275975 595092172 663319300 743865215 882551950 1041411301 1487730430 1765103900 2082822602 2975460860 3719326075 4165645204 5207056505 7438652150 10414113010 14877304300 20828226020 26035282525 52070565050 104141130100