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103003002300 = 223521134918941
BaseRepresentation
bin101111111101101110…
…1010001010110111100
3100211212110022122222010
41133323131101112330
53141422232033200
6115152515451220
710304340034152
oct1377335212674
9324773278863
10103003002300
113a757567190
1217b675b6b10
139936a05693
144db1c093d2
152a2cbc3150
hex17fb7515bc

103003002300 has 144 divisors (see below), whose sum is σ = 325244433024. Its totient is φ = 24960480000.

The previous prime is 103003002247. The next prime is 103003002307. The reversal of 103003002300 is 3200300301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103003002307) 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, 11515830 + ... + 11524770.

It is an arithmetic number, because the mean of its divisors is an integer number (2258641896).

Almost surely, 2103003002300 is an apocalyptic number.

103003002300 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 103003002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162622216512).

103003002300 is an abundant number, since it is smaller than the sum of its proper divisors (222241430724).

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

103003002300 is a wasteful number, since it uses less digits than its factorization.

103003002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12460 (or 12453 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 103003002300 its reverse (3200300301), we get a palindrome (106203302601).

The spelling of 103003002300 in words is "one hundred three billion, three million, two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 3491 6982 8941 10473 13964 17455 17882 20946 26823 34910 35764 38401 41892 44705 52365 53646 69820 76802 87275 89410 98351 104730 107292 115203 134115 153604 174550 178820 192005 196702 209460 223525 230406 261825 268230 295053 349100 384010 393404 447050 460812 491755 523650 536460 576015 590106 670575 768020 894100 960025 983510 1047300 1152030 1180212 1341150 1475265 1920050 1967020 2304060 2458775 2682300 2880075 2950530 3840100 4917550 5760150 5901060 7376325 9835100 11520300 14752650 29505300 31213031 62426062 93639093 124852124 156065155 187278186 312130310 343343341 374556372 468195465 624260620 686686682 780325775 936390930 1030030023 1373373364 1560651550 1716716705 1872781860 2060060046 2340977325 3121303100 3433433410 4120120092 4681954650 5150150115 6866866820 8583583525 9363909300 10300300230 17167167050 20600600460 25750750575 34334334100 51501501150 103003002300