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41301241100 = 22527315335911
BaseRepresentation
bin100110011101101111…
…101110110100001100
310221121100120102201022
4212131233232310030
51134041104203400
630550140533312
72661324520430
oct463557566414
9127540512638
1041301241100
1116574523809
128007851238
133b82833402
141ddb3329c0
15111ad6eb85
hex99dbeed0c

41301241100 has 144 divisors (see below), whose sum is σ = 107729104896. Its totient is φ = 13444704000.

The previous prime is 41301241021. The next prime is 41301241133. The reversal of 41301241100 is 114210314.

It is a happy number.

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, 1132145 + ... + 1168055.

It is an arithmetic number, because the mean of its divisors is an integer number (748118784).

Almost surely, 241301241100 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 41301241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53864552448).

41301241100 is an abundant number, since it is smaller than the sum of its proper divisors (66427863796).

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

41301241100 is a wasteful number, since it uses less digits than its factorization.

41301241100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36016 (or 36009 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 41301241100 its reverse (114210314), we get a palindrome (41415451414).

The spelling of 41301241100 in words is "forty-one billion, three hundred one million, two hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 31 35 50 53 62 70 100 106 124 140 155 175 212 217 265 310 350 371 434 530 620 700 742 775 868 1060 1085 1325 1484 1550 1643 1855 2170 2650 3100 3286 3710 4340 5300 5425 6572 7420 8215 9275 10850 11501 16430 18550 21700 23002 32860 35911 37100 41075 46004 57505 71822 82150 115010 143644 164300 179555 230020 251377 287525 359110 502754 575050 718220 897775 1005508 1113241 1150100 1256885 1795550 1903283 2226482 2513770 3591100 3806566 4452964 5027540 5566205 6284425 7613132 7792687 9516415 11132410 12568850 13322981 15585374 19032830 22264820 25137700 26645962 27831025 31170748 38065660 38963435 47582075 53291924 55662050 59001773 66614905 77926870 95164150 111324100 118003546 133229810 155853740 190328300 194817175 236007092 266459620 295008865 333074525 389634350 413012411 590017730 666149050 779268700 826024822 1180035460 1332298100 1475044325 1652049644 2065062055 2950088650 4130124110 5900177300 8260248220 10325310275 20650620550 41301241100