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103323113303300 = 22521131373565391
BaseRepresentation
bin10111011111100011001001…
…011101110010110100000100
3111112211121000102021021222022
4113133203021131302310010
5102020321214001201200
61003425552153422312
730522564032151632
oct2737431135626404
9445747012237868
10103323113303300
112aa160a4917000
12b70886570a998
134586435184677
141b72c187d0352
15be2a10913885
hex5df8c9772d04

103323113303300 has 144 divisors (see below), whose sum is σ = 246795480578304. Its totient is φ = 37544609872000.

The previous prime is 103323113303299. The next prime is 103323113303317. The reversal of 103323113303300 is 3303311323301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 103323113303300.

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, 182463605 + ... + 183028995.

It is an arithmetic number, because the mean of its divisors is an integer number (1713857504016).

Almost surely, 2103323113303300 is an apocalyptic number.

103323113303300 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 103323113303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123397740289152).

103323113303300 is an abundant number, since it is smaller than the sum of its proper divisors (143472367275004).

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

103323113303300 is a wasteful number, since it uses less digits than its factorization.

103323113303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566811 (or 566782 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 26.

Adding to 103323113303300 its reverse (3303311323301), we get a palindrome (106626424626601).

The spelling of 103323113303300 in words is "one hundred three trillion, three hundred twenty-three billion, one hundred thirteen million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 1331 1373 2420 2662 2746 3025 5324 5492 6050 6655 6865 12100 13310 13730 15103 26620 27460 30206 33275 34325 60412 66550 68650 75515 133100 137300 151030 166133 302060 332266 377575 565391 664532 755150 830665 1130782 1510300 1661330 1827463 2261564 2826955 3322660 3654926 4153325 5653910 6219301 7309852 8306650 9137315 11307820 12438602 14134775 16613300 18274630 24877204 28269550 31096505 36549260 45686575 56539100 62193010 68412311 91373150 124386020 136824622 155482525 182746300 273649244 310965050 342061555 621930100 684123110 752535421 776281843 1368246220 1505070842 1552563686 1710307775 3010141684 3105127372 3420615550 3762677105 3881409215 6841231100 7525354210 7762818430 8539100273 15050708420 15525636860 17078200546 18813385525 19407046075 34156401092 37626771050 38814092150 42695501365 75253542100 77628184300 85391002730 93930103003 170782005460 187860206006 213477506825 375720412012 426955013650 469650515015 853910027300 939301030030 1033231133033 1878602060060 2066462266066 2348252575075 4132924532132 4696505150150 5166155665165 9393010300300 10332311330330 20664622660660 25830778325825 51661556651650 103323113303300