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20132233242 = 23111013139649
BaseRepresentation
bin10010101111111110…
…011000000000011010
31220222001100102011020
4102233332120000122
5312212322430432
613125411343310
71311616105362
oct225776300032
956861312136
1020132233242
1185a11368a0
123a9a2b1b36
131b8abc5a64
14d8daa79a2
157cc68b22c
hex4aff9801a

20132233242 has 64 divisors (see below), whose sum is σ = 44506108800. Its totient is φ = 6020352000.

The previous prime is 20132233213. The next prime is 20132233243. The reversal of 20132233242 is 24233223102.

It is not an unprimeable number, because it can be changed into a prime (20132233243) 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, 2081634 + ... + 2091282.

It is an arithmetic number, because the mean of its divisors is an integer number (695407950).

Almost surely, 220132233242 is an apocalyptic number.

20132233242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20132233242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22253054400).

20132233242 is an abundant number, since it is smaller than the sum of its proper divisors (24373875558).

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

20132233242 is a wasteful number, since it uses less digits than its factorization.

20132233242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10079.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20132233242 its reverse (24233223102), we get a palindrome (44365456344).

The spelling of 20132233242 in words is "twenty billion, one hundred thirty-two million, two hundred thirty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 101 202 303 313 606 626 939 1111 1878 2222 3333 3443 6666 6886 9649 10329 19298 20658 28947 31613 57894 63226 94839 106139 189678 212278 318417 347743 636834 695486 974549 1043229 1949098 2086458 2923647 3020137 5847294 6040274 9060411 10720039 18120822 21440078 32160117 33221507 64320234 66443014 99664521 199329042 305033837 610067674 915101511 1830203022 3355372207 6710744414 10066116621 20132233242