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20331213232 = 24112272811811
BaseRepresentation
bin10010111011110101…
…011011000110110000
31221110220202122101111
4102323311123012300
5313114242310412
613201240243104
71316553314101
oct227365330660
957426678344
1020331213232
118693492470
123b34a70494
131bc01b39b5
14dac2a23a8
157ded932a7
hex4bbd5b1b0

20331213232 has 80 divisors (see below), whose sum is σ = 43339618944. Its totient is φ = 9162944000.

The previous prime is 20331213163. The next prime is 20331213247. The reversal of 20331213232 is 23231213302.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 15 ways as a sum of consecutive naturals, for example, 11225607 + ... + 11227417.

Almost surely, 220331213232 is an apocalyptic number.

20331213232 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 20331213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21669809472).

20331213232 is an abundant number, since it is smaller than the sum of its proper divisors (23008405712).

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

20331213232 is a wasteful number, since it uses less digits than its factorization.

20331213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 20331213232 its reverse (23231213302), we get a palindrome (43562426534).

The spelling of 20331213232 in words is "twenty billion, three hundred thirty-one million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 227 281 454 562 908 1124 1811 1816 2248 2497 3091 3622 3632 4496 4994 6182 7244 9988 12364 14488 19921 19976 24728 28976 39842 39952 49456 63787 79684 127574 159368 255148 318736 411097 508891 510296 701657 822194 1017782 1020592 1403314 1644388 2035564 2806628 3288776 4071128 4522067 5597801 5613256 6577552 8142256 9044134 11195602 11226512 18088268 22391204 36176536 44782408 72353072 89564816 115518257 231036514 462073028 924146056 1270700827 1848292112 2541401654 5082803308 10165606616 20331213232