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10241104364244 = 22321325473077303
BaseRepresentation
bin1001010100000111000101…
…1000110100001011010100
31100021001002011121222202200
42111001301120310023110
52320242240204123434
633440410504204500
72104616053543035
oct225016130641324
940231064558680
1010241104364244
113299256479486
121194965169730
13593969278200
1427595a334a8c
1512b5dbce8199
hex950716342d4

10241104364244 has 108 divisors (see below), whose sum is σ = 28082996244576. Its totient is φ = 3145347301824.

The previous prime is 10241104364237. The next prime is 10241104364263. The reversal of 10241104364244 is 44246340114201.

10241104364244 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 1 + 1 + 0 + 4 + 3 + 642 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10241104364199 and 10241104364208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1789297 + ... + 4866599.

Almost surely, 210241104364244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10241104364244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14041498122288).

10241104364244 is an abundant number, since it is smaller than the sum of its proper divisors (17841891880332).

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

10241104364244 is a wasteful number, since it uses less digits than its factorization.

10241104364244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3077886 (or 3077868 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 10241104364244 its reverse (44246340114201), we get a palindrome (54487444478445).

The spelling of 10241104364244 in words is "ten trillion, two hundred forty-one billion, one hundred four million, three hundred sixty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 547 676 1014 1094 1521 1641 2028 2188 3042 3282 4923 6084 6564 7111 9846 14222 19692 21333 28444 42666 63999 85332 92443 127998 184886 255996 277329 369772 554658 831987 1109316 1663974 3077303 3327948 6154606 9231909 12309212 18463818 27695727 36927636 40004939 55391454 80009878 110782908 120014817 160019756 240029634 360044451 480059268 520064207 720088902 1040128414 1440177804 1560192621 1683284741 2080256828 3120385242 3366569482 4680577863 5049854223 6240770484 6733138964 9361155726 10099708446 15149562669 18722311452 20199416892 21882701633 30299125338 43765403266 60598250676 65648104899 87530806532 131296209798 196944314697 262592419596 284475121229 393888629394 568950242458 787777258788 853425363687 1137900484916 1706850727374 2560276091061 3413701454748 5120552182122 10241104364244