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300031002103300 = 2252133111123966029
BaseRepresentation
bin100010000111000000110100…
…1010011010100111000000100
31110100022200110101212121112021
41010032001221103110320010
5303311201443014301200
62542040201202532524
7120124344633136636
oct10416015123247004
91410280411777467
10300031002103300
11876654849935a6
1229798027667144
13cb54a57292540
145413813db8a56
1524a476543241a
hex110e0694d4e04

300031002103300 has 144 divisors (see below), whose sum is σ = 703477112083200. Its totient is φ = 110412972403200.

The previous prime is 300031002103289. The next prime is 300031002103303. The reversal of 300031002103300 is 3301200130003.

It is a super-2 number, since 2×3000310021033002 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (300031002103303) 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, 4543894686 + ... + 4543960714.

It is an arithmetic number, because the mean of its divisors is an integer number (4885257722800).

Almost surely, 2300031002103300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300031002103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351738556041600).

300031002103300 is an abundant number, since it is smaller than the sum of its proper divisors (403446109979900).

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

300031002103300 is a wasteful number, since it uses less digits than its factorization.

300031002103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77606 (or 77599 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 300031002103300 its reverse (3301200130003), we get a palindrome (303332202233303).

The spelling of 300031002103300 in words is "three hundred trillion, thirty-one billion, two million, one hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 311 325 622 650 1244 1300 1555 3110 4043 6220 7775 8086 11239 15550 16172 20215 22478 31100 40430 44956 56195 66029 80860 101075 112390 132058 146107 202150 224780 264116 280975 292214 330145 404300 561950 584428 660290 730535 858377 1123900 1320580 1461070 1650725 1716754 2922140 3301450 3433508 3495329 3652675 4291885 6602900 6990658 7305350 8583770 13981316 14610700 17167540 17476645 20535019 21459425 34953290 41070038 42918850 45439277 69906580 82140076 85837700 87383225 90878554 102675095 174766450 181757108 205350190 227196385 266955247 349532900 410700380 454392770 513375475 533910494 742099931 908785540 1026750950 1067820988 1135981925 1334776235 1484199862 2053501900 2271963850 2669552470 2968399724 3710499655 4543927700 5339104940 6673881175 7420999310 9647299103 13347762350 14841998620 18552498275 19294598206 26695524700 37104996550 38589196412 48236495515 74209993100 96472991030 192945982060 230793078541 241182477575 461586157082 482364955150 923172314164 964729910300 1153965392705 2307930785410 3000310021033 4615861570820 5769826963525 6000620042066 11539653927050 12001240084132 15001550105165 23079307854100 30003100210330 60006200420660 75007750525825 150015501051650 300031002103300