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41141241202100 = 22521396493279833
BaseRepresentation
bin10010101101010111100010…
…00100010100010110110100
312101200001201211120220201212
421112223301010110112310
520343024230221431400
6223300005243540552
711444233211153054
oct1126536104242664
9171601654526655
1041141241202100
11121219a2121666
12474554652a758
1319c57aa6144b0
14a23364d27564
154b52a112d335
hex256af11145b4

41141241202100 has 72 divisors (see below), whose sum is σ = 96153909427800. Its totient is φ = 15189033185280.

The previous prime is 41141241202091. The next prime is 41141241202121. The reversal of 41141241202100 is 120214214114.

It can be written as a sum of positive squares in 12 ways, for example, as 35190949382416 + 5950291819684 = 5932196^2 + 2439322^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10903784 + ... + 14183616.

It is an arithmetic number, because the mean of its divisors is an integer number (1335470964275).

Almost surely, 241141241202100 is an apocalyptic number.

It is an amenable number.

41141241202100 is an abundant number, since it is smaller than the sum of its proper divisors (55012668225700).

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

41141241202100 is a wasteful number, since it uses less digits than its factorization.

41141241202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289509 (or 3289502 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 41141241202100 its reverse (120214214114), we get a palindrome (41261455416214).

The spelling of 41141241202100 in words is "forty-one trillion, one hundred forty-one billion, two hundred forty-one million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 9649 19298 38596 48245 96490 125437 192980 241225 250874 482450 501748 627185 964900 1254370 2508740 3135925 3279833 6271850 6559666 12543700 13119332 16399165 32798330 42637829 65596660 81995825 85275658 163991650 170551316 213189145 327983300 426378290 852756580 1065945725 2131891450 4263782900 31647108617 63294217234 126588434468 158235543085 316471086170 411412412021 632942172340 791177715425 822824824042 1582355430850 1645649648084 2057062060105 3164710861700 4114124120210 8228248240420 10285310300525 20570620601050 41141241202100