Search a number
-
+
21033211232 = 2511241132491
BaseRepresentation
bin10011100101101011…
…010101010101100000
32000021211200211121102
4103211223111111200
5321034000224412
613355034413532
71343136226355
oct234553252540
960254624542
1021033211232
118a13776a00
1240abb912a8
131ca2772627
1410375da62c
1583180c8c2
hex4e5ad5560

21033211232 has 72 divisors (see below), whose sum is σ = 46626319656. Its totient is φ = 9327296000.

The previous prime is 21033211219. The next prime is 21033211237. The reversal of 21033211232 is 23211233012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21033211237) 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 11 ways as a sum of consecutive naturals, for example, 92507 + ... + 224997.

It is an arithmetic number, because the mean of its divisors is an integer number (647587773).

Almost surely, 221033211232 is an apocalyptic number.

21033211232 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 21033211232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23313159828).

21033211232 is an abundant number, since it is smaller than the sum of its proper divisors (25593108424).

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

21033211232 is a wasteful number, since it uses less digits than its factorization.

21033211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132564 (or 132545 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 21033211232 its reverse (23211233012), we get a palindrome (44244444244).

The spelling of 21033211232 in words is "twenty-one billion, thirty-three million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 82 88 121 164 176 242 328 352 451 484 656 902 968 1312 1804 1936 3608 3872 4961 7216 9922 14432 19844 39688 79376 132491 158752 264982 529964 1059928 1457401 2119856 2914802 4239712 5432131 5829604 10864262 11659208 16031411 21728524 23318416 32062822 43457048 46636832 59753441 64125644 86914096 119506882 128251288 173828192 239013764 256502576 478027528 513005152 657287851 956055056 1314575702 1912110112 2629151404 5258302808 10516605616 21033211232