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41302113304110 = 235291131475328477
BaseRepresentation
bin10010110010000011001011…
…10010101011111000101110
312102020102222021211102210020
421121001211302223320232
520403143212001212420
6223501532351223010
711461656604362531
oct1131014562537056
9172212867742706
1041302113304110
111218414524198a
124770762217a66
131a07a0745a4b9
14a2b0665b4a18
154b9569436340
hex259065cabe2e

41302113304110 has 128 divisors (see below), whose sum is σ = 103461284810880. Its totient is φ = 10538915659776.

The previous prime is 41302113304099. The next prime is 41302113304163. The reversal of 41302113304110 is 1140331120314.

It is a happy number.

41302113304110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×413021133041102 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1450353192 + ... + 1450381668.

It is an arithmetic number, because the mean of its divisors is an integer number (808291287585).

Almost surely, 241302113304110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41302113304110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51730642405440).

41302113304110 is an abundant number, since it is smaller than the sum of its proper divisors (62159171506770).

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

41302113304110 is a wasteful number, since it uses less digits than its factorization.

41302113304110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43382.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 41302113304110 its reverse (1140331120314), we get a palindrome (42442444424424).

The spelling of 41302113304110 in words is "forty-one trillion, three hundred two billion, one hundred thirteen million, three hundred four thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 113 145 174 226 290 339 435 565 678 870 1130 1695 3277 3390 6554 9831 14753 16385 19662 28477 29506 32770 44259 49155 56954 73765 85431 88518 98310 142385 147530 170862 221295 284770 427155 427837 442590 825833 854310 855674 1283511 1651666 1667089 2139185 2477499 2567022 3217901 3334178 4129165 4278370 4954998 5001267 6417555 6435802 8258330 8335445 9653703 10002534 12387495 12835110 16089505 16670890 19307406 24774990 25006335 32179010 48268515 48345581 50012670 93319129 96537030 96691162 145036743 186638258 241727905 279957387 290073486 420121181 466595645 483455810 559914774 725183715 840242362 933191290 1260363543 1399786935 1450367430 2100605905 2520727086 2799573870 4201211810 6301817715 12183514249 12603635430 24367028498 36550542747 47473693453 60917571245 73101085494 94947386906 121835142490 142421080359 182752713735 237368467265 284842160718 365505427470 474736934530 712105401795 1376737110137 1424210803590 2753474220274 4130211330411 6883685550685 8260422660822 13767371101370 20651056652055 41302113304110