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41223023310120 = 23352397571898737
BaseRepresentation
bin10010101111101111110111…
…01010010011010100101000
312101221212211101001110100120
421113313323222103110220
520400344222431410440
6223401332342203240
711453156642462631
oct1127677352232450
9171855741043316
1041223023310120
1112153649a81893
12475936b123520
131a00411a135a2
14a272c263c888
154b748acbddd0
hex257dfba93528

41223023310120 has 128 divisors (see below), whose sum is σ = 124350630105600. Its totient is φ = 10932344672256.

The previous prime is 41223023310037. The next prime is 41223023310137. The reversal of 41223023310120 is 2101332032214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20761392 + ... + 22660128.

It is an arithmetic number, because the mean of its divisors is an integer number (971489297700).

Almost surely, 241223023310120 is an apocalyptic number.

41223023310120 is a gapful number since it is divisible by the number (40) 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 41223023310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62175315052800).

41223023310120 is an abundant number, since it is smaller than the sum of its proper divisors (83127606795480).

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

41223023310120 is a wasteful number, since it uses less digits than its factorization.

41223023310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899747 (or 1899743 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 41223023310120 its reverse (2101332032214), we get a palindrome (43324355342334).

The spelling of 41223023310120 in words is "forty-one trillion, two hundred twenty-three billion, twenty-three million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 239 478 717 757 956 1195 1434 1514 1912 2271 2390 2868 3028 3585 3785 4542 4780 5736 6056 7170 7570 9084 9560 11355 14340 15140 18168 22710 28680 30280 45420 90840 180923 361846 542769 723692 904615 1085538 1447384 1809230 1898737 2171076 2713845 3618460 3797474 4342152 5427690 5696211 7236920 7594948 9493685 10855380 11392422 15189896 18987370 21710760 22784844 28481055 37974740 45569688 56962110 75949480 113924220 227848440 453798143 907596286 1361394429 1437343909 1815192572 2268990715 2722788858 2874687818 3630385144 4312031727 4537981430 5445577716 5749375636 6806972145 7186719545 8624063454 9075962860 10891155432 11498751272 13613944290 14373439090 17248126908 18151925720 21560158635 27227888580 28746878180 34496253816 43120317270 54455777160 57493756360 86240634540 172481269080 343525194251 687050388502 1030575582753 1374100777004 1717625971255 2061151165506 2748201554008 3435251942510 4122302331012 5152877913765 6870503885020 8244604662024 10305755827530 13741007770040 20611511655060 41223023310120