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20303001312 = 2531170127427
BaseRepresentation
bin10010111010001001…
…110011011011100000
31221101221200022220120
4102322021303123200
5313040032020222
613154351440240
71316061443436
oct227211633340
957357608816
1020303001312
118679573430
123b27526080
131bb73b6859
14da863ad56
157dc66e15c
hex4ba2736e0

20303001312 has 96 divisors (see below), whose sum is σ = 58225474944. Its totient is φ = 6143424000.

The previous prime is 20303001311. The next prime is 20303001317. The reversal of 20303001312 is 21310030302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 20303001291 and 20303001300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20303001311) 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 15 ways as a sum of consecutive naturals, for example, 726543 + ... + 753969.

It is an arithmetic number, because the mean of its divisors is an integer number (606515364).

Almost surely, 220303001312 is an apocalyptic number.

20303001312 is a gapful number since it is divisible by the number (22) 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 20303001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29112737472).

20303001312 is an abundant number, since it is smaller than the sum of its proper divisors (37922473632).

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

20303001312 is a wasteful number, since it uses less digits than its factorization.

20303001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28152 (or 28144 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20303001312 its reverse (21310030302), we get a palindrome (41613031614).

The spelling of 20303001312 in words is "twenty billion, three hundred three million, one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 701 1056 1402 2103 2804 4206 5608 7711 8412 11216 15422 16824 22432 23133 27427 30844 33648 46266 54854 61688 67296 82281 92532 109708 123376 164562 185064 219416 246752 301697 329124 370128 438832 603394 658248 740256 877664 905091 1206788 1316496 1810182 2413576 2632992 3620364 4827152 7240728 9654304 14481456 19226327 28962912 38452654 57678981 76905308 115357962 153810616 211489597 230715924 307621232 422979194 461431848 615242464 634468791 845958388 922863696 1268937582 1691916776 1845727392 2537875164 3383833552 5075750328 6767667104 10151500656 20303001312