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20301312032 = 254124736257
BaseRepresentation
bin10010111010000011…
…010111000000100000
31221101211111111122122
4102322003113000200
5313034113441112
613154251323412
71316041206431
oct227203270040
957354444578
1020301312032
11867861a231
123b26a50568
131bb6c44991
14da831b488
157dc438872
hex4ba0d7020

20301312032 has 48 divisors (see below), whose sum is σ = 40966144632. Its totient is φ = 9897492480.

The previous prime is 20301312013. The next prime is 20301312061. The reversal of 20301312032 is 23021310302.

It can be written as a sum of positive squares in 4 ways, for example, as 19464714256 + 836597776 = 139516^2 + 28924^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20301312032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3241448 + ... + 3247704.

Almost surely, 220301312032 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 20301312032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20483072316).

20301312032 is an abundant number, since it is smaller than the sum of its proper divisors (20664832600).

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

20301312032 is a wasteful number, since it uses less digits than its factorization.

20301312032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8781 (or 8773 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 20301312032 its reverse (23021310302), we get a palindrome (43322622334).

The spelling of 20301312032 in words is "twenty billion, three hundred one million, three hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 2473 4946 6257 9892 12514 19784 25028 39568 50056 79136 100112 101393 200224 202786 256537 405572 513074 811144 1026148 1622288 2052296 3244576 4104592 8209184 15473561 30947122 61894244 123788488 247576976 495153952 634416001 1268832002 2537664004 5075328008 10150656016 20301312032