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13203421000 = 2353711171473
BaseRepresentation
bin11000100101111110…
…00011011101001000
31021002011120021121121
430102333003131020
5204020033433000
610022055045024
7645123140530
oct142277033510
937064507547
1013203421000
115665a94690
122685970774
131325586163
148d379c4c0
15524234b1a
hex312fc3748

13203421000 has 128 divisors (see below), whose sum is σ = 38519919360. Its totient is φ = 4115328000.

The previous prime is 13203420983. The next prime is 13203421001. The reversal of 13203421000 is 12430231.

It is a happy number.

13203421000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132034210002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13203421001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8737 + ... + 162736.

It is an arithmetic number, because the mean of its divisors is an integer number (300936870).

Almost surely, 213203421000 is an apocalyptic number.

13203421000 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 13203421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19259959680).

13203421000 is an abundant number, since it is smaller than the sum of its proper divisors (25316498360).

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

13203421000 is a wasteful number, since it uses less digits than its factorization.

13203421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171512 (or 171498 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13203421000 its reverse (12430231), we get a palindrome (13215851231).

The spelling of 13203421000 in words is "thirteen billion, two hundred three million, four hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1925 2200 2750 3080 3500 3850 5500 7000 7700 9625 11000 15400 19250 38500 77000 171473 342946 685892 857365 1200311 1371784 1714730 1886203 2400622 3429460 3772406 4286825 4801244 6001555 6858920 7544812 8573650 9431015 9602488 12003110 13203421 15089624 17147300 18862030 21434125 24006220 26406842 30007775 34294600 37724060 42868250 47155075 48012440 52813684 60015550 66017105 75448120 85736500 94310150 105627368 120031100 132034210 150038875 171473000 188620300 235775375 240062200 264068420 300077750 330085525 377240600 471550750 528136840 600155500 660171050 943101500 1200311000 1320342100 1650427625 1886203000 2640684200 3300855250 6601710500 13203421000