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13352445300 = 22352233752301
BaseRepresentation
bin11000110111101111…
…00010010101110100
31021110112222111112010
430123313202111310
5204321211222200
610044541124220
7651612624645
oct143367422564
937415874463
1013352445300
11573211a867
122707859670
13134a402c0c
149094b16cc
15532370150
hex31bde2574

13352445300 has 144 divisors (see below), whose sum is σ = 41403100032. Its totient is φ = 3313728000.

The previous prime is 13352445299. The next prime is 13352445331. The reversal of 13352445300 is 354425331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 229150 + ... + 281450.

It is an arithmetic number, because the mean of its divisors is an integer number (287521528).

Almost surely, 213352445300 is an apocalyptic number.

13352445300 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 13352445300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20701550016).

13352445300 is an abundant number, since it is smaller than the sum of its proper divisors (28050654732).

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

13352445300 is a wasteful number, since it uses less digits than its factorization.

13352445300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52378 (or 52371 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 13352445300 in words is "thirteen billion, three hundred fifty-two million, four hundred forty-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 37 46 50 60 69 74 75 92 100 111 115 138 148 150 185 222 230 276 300 345 370 444 460 555 575 690 740 851 925 1110 1150 1380 1702 1725 1850 2220 2300 2553 2775 3404 3450 3700 4255 5106 5550 6900 8510 10212 11100 12765 17020 21275 25530 42550 51060 52301 63825 85100 104602 127650 156903 209204 255300 261505 313806 523010 627612 784515 1046020 1202923 1307525 1569030 1935137 2405846 2615050 3138060 3608769 3870274 3922575 4811692 5230100 5805411 6014615 7217538 7740548 7845150 9675685 11610822 12029230 14435076 15690300 18043845 19351370 23221644 24058460 29027055 30073075 36087690 38702740 44508151 48378425 58054110 60146150 72175380 89016302 90219225 96756850 116108220 120292300 133524453 145135275 178032604 180438450 193513700 222540755 267048906 290270550 360876900 445081510 534097812 580541100 667622265 890163020 1112703775 1335244530 2225407550 2670489060 3338111325 4450815100 6676222650 13352445300