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103243003440 = 24354350319889
BaseRepresentation
bin110000000100111000…
…0110011011000110000
3100212111011220222122020
41200021300303120300
53142420202102230
6115232411511440
710313313023013
oct1401160633060
9325434828566
10103243003440
113a86aa90635
1218013a58580
139974656ba5
144dd5a4137a
152a43cce810
hex1809c33630

103243003440 has 160 divisors (see below), whose sum is σ = 328163996160. Its totient is φ = 26836389888.

The previous prime is 103243003429. The next prime is 103243003459. The reversal of 103243003440 is 44300342301.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103243003440.

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, 5181016 + ... + 5200904.

It is an arithmetic number, because the mean of its divisors is an integer number (2051024976).

Almost surely, 2103243003440 is an apocalyptic number.

103243003440 is a gapful number since it is divisible by the number (10) 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 103243003440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164081998080).

103243003440 is an abundant number, since it is smaller than the sum of its proper divisors (224920992720).

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

103243003440 is a wasteful number, since it uses less digits than its factorization.

103243003440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20451 (or 20445 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 103243003440 its reverse (44300342301), we get a palindrome (147543345741).

The spelling of 103243003440 in words is "one hundred three billion, two hundred forty-three million, three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 503 516 645 688 860 1006 1032 1290 1509 1720 2012 2064 2515 2580 3018 3440 4024 5030 5160 6036 7545 8048 10060 10320 12072 15090 19889 20120 21629 24144 30180 39778 40240 43258 59667 60360 64887 79556 86516 99445 108145 119334 120720 129774 159112 173032 198890 216290 238668 259548 298335 318224 324435 346064 397780 432580 477336 519096 596670 648870 795560 855227 865160 954672 1038192 1193340 1297740 1591120 1710454 1730320 2386680 2565681 2595480 3420908 4276135 4773360 5131362 5190960 6841816 8552270 10004167 10262724 12828405 13683632 17104540 20008334 20525448 25656810 30012501 34209080 40016668 41050896 50020835 51313620 60025002 68418160 80033336 100041670 102627240 120050004 150062505 160066672 200083340 205254480 240100008 300125010 400166680 430179181 480200016 600250020 800333360 860358362 1200500040 1290537543 1720716724 2150895905 2401000080 2581075086 3441433448 4301791810 5162150172 6452687715 6882866896 8603583620 10324300344 12905375430 17207167240 20648600688 25810750860 34414334480 51621501720 103243003440