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103421331300 = 223527170928817
BaseRepresentation
bin110000001010001100…
…1000100011101100100
3100212221121110222110210
41200110121010131210
53143301330100200
6115302222015420
710320606545220
oct1402431043544
9325847428423
10103421331300
113a951710a31
1218063717570
1399a2593931
1450115c1780
152a547a7650
hex1814644764

103421331300 has 144 divisors (see below), whose sum is σ = 342191848320. Its totient is φ = 23624509440.

The previous prime is 103421331289. The next prime is 103421331301. The reversal of 103421331300 is 3133124301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (103421331301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3574492 + ... + 3603308.

It is an arithmetic number, because the mean of its divisors is an integer number (2376332280).

Almost surely, 2103421331300 is an apocalyptic number.

103421331300 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 103421331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171095924160).

103421331300 is an abundant number, since it is smaller than the sum of its proper divisors (238770517020).

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

103421331300 is a wasteful number, since it uses less digits than its factorization.

103421331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30550 (or 30543 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103421331300 its reverse (3133124301), we get a palindrome (106554455601).

The spelling of 103421331300 in words is "one hundred three billion, four hundred twenty-one million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 1709 2100 3418 5127 6836 8545 10254 11963 17090 20508 23926 25635 28817 34180 35889 42725 47852 51270 57634 59815 71778 85450 86451 102540 115268 119630 128175 143556 144085 170900 172902 179445 201719 239260 256350 288170 299075 345804 358890 403438 432255 512700 576340 598150 605157 717780 720425 806876 864510 897225 1008595 1196300 1210314 1440850 1729020 1794450 2017190 2161275 2420628 2881700 3025785 3588900 4034380 4322550 5042975 6051570 8645100 10085950 12103140 15128925 20171900 30257850 49248253 60515700 98496506 147744759 196993012 246241265 295489518 344737771 492482530 590979036 689475542 738723795 984965060 1034213313 1231206325 1378951084 1477447590 1723688855 2068426626 2462412650 2954895180 3447377710 3693618975 4136853252 4924825300 5171066565 6894755420 7387237950 8618444275 10342133130 14774475900 17236888550 20684266260 25855332825 34473777100 51710665650 103421331300