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21332103132 = 223171275771427
BaseRepresentation
bin10011110111011111…
…100000111111011100
32001001200010010012210
4103313133200333130
5322142004300012
613444433000420
71353425612334
oct236737407734
961050103183
1021332103132
1190574638aa
1241740b3110
13201c672c42
1410651a20c4
1584cb9d23c
hex4f77e0fdc

21332103132 has 96 divisors (see below), whose sum is σ = 53247172608. Its totient is φ = 6623576064.

The previous prime is 21332103131. The next prime is 21332103139. The reversal of 21332103132 is 23130123312.

It is a junction number, because it is equal to n+sod(n) for n = 21332103099 and 21332103108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21332103131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14948203 + ... + 14949629.

It is an arithmetic number, because the mean of its divisors is an integer number (554658048).

Almost surely, 221332103132 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 21332103132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26623586304).

21332103132 is an abundant number, since it is smaller than the sum of its proper divisors (31915069476).

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

21332103132 is a wasteful number, since it uses less digits than its factorization.

21332103132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 21332103132 its reverse (23130123312), we get a palindrome (44462226444).

The spelling of 21332103132 in words is "twenty-one billion, three hundred thirty-two million, one hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 127 204 254 381 508 577 762 1154 1427 1524 1731 2159 2308 2854 3462 4281 4318 5708 6477 6924 8562 8636 9809 12954 17124 19618 24259 25908 29427 39236 48518 58854 72777 73279 97036 117708 145554 146558 181229 219837 291108 293116 362458 439674 543687 724916 823379 879348 1087374 1245743 1646758 2174748 2470137 2491486 3080893 3293516 3737229 4940274 4982972 6161786 7474458 9242679 9880548 12323572 13997443 14948916 18485358 27994886 36970716 41992329 55989772 83984658 104569133 167969316 209138266 313707399 418276532 627414798 1254829596 1777675261 3555350522 5333025783 7110701044 10666051566 21332103132