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203431421323410 = 235726926171376077
BaseRepresentation
bin101110010000010100010001…
…100110101010100010010010
3222200021212001112020022120020
4232100110101212222202102
5203131010022324322120
62000355034345124310
760564302156314530
oct5620242146524222
9880255045208506
10203431421323410
11599018659887a5
121a996457489696
1389686680c8577
1438341c1bcb150
15187bab89ad640
hexb905119aa892

203431421323410 has 128 divisors (see below), whose sum is σ = 560272029166080. Its totient is φ = 46308017793024.

The previous prime is 203431421323393. The next prime is 203431421323439. The reversal of 203431421323410 is 14323124134302.

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 63 ways as a sum of consecutive naturals, for example, 147146292 + ... + 148522368.

It is an arithmetic number, because the mean of its divisors is an integer number (4377125227860).

Almost surely, 2203431421323410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203431421323410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280136014583040).

203431421323410 is an abundant number, since it is smaller than the sum of its proper divisors (356840607842670).

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

203431421323410 is a wasteful number, since it uses less digits than its factorization.

203431421323410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378980.

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 203431421323410 its reverse (14323124134302), we get a palindrome (217754545457712).

The spelling of 203431421323410 in words is "two hundred three trillion, four hundred thirty-one billion, four hundred twenty-one million, three hundred twenty-three thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 269 538 807 1345 1614 1883 2617 2690 3766 4035 5234 5649 7851 8070 9415 11298 13085 15702 18319 18830 26170 28245 36638 39255 54957 56490 78510 91595 109914 183190 274785 549570 703973 1376077 1407946 2111919 2752154 3519865 4128231 4223838 4927811 6880385 7039730 8256462 9632539 9855622 10559595 13760770 14783433 19265078 20641155 21119190 24639055 28897617 29566866 41282310 48162695 49278110 57795234 73917165 96325390 144488085 147834330 288976170 370164713 740329426 1110494139 1850823565 2220988278 2591152991 3601193509 3701647130 5182305982 5552470695 7202387018 7773458973 10803580527 11104941390 12955764955 15546917946 18005967545 21607161054 25208354563 25911529910 36011935090 38867294865 50416709126 54017902635 75625063689 77734589730 108035805270 126041772815 151250127378 252083545630 378125318445 756250636890 968721053921 1937442107842 2906163161763 4843605269605 5812326323526 6781047377447 9687210539210 13562094754894 14530815808815 20343142132341 29061631617630 33905236887235 40686284264682 67810473774470 101715710661705 203431421323410