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21130450452 = 2233593978353
BaseRepresentation
bin10011101011011110…
…010001011000010100
32000112121200002202000
4103223132101120110
5321233343403302
613412430515300
71345426602546
oct235336213024
960477602660
1021130450452
118a636521a1
124118665b30
131cb995a627
1410464ad696
1583a11931c
hex4eb791614

21130450452 has 96 divisors (see below), whose sum is σ = 55858185600. Its totient is φ = 6905834496.

The previous prime is 21130450433. The next prime is 21130450459. The reversal of 21130450452 is 25405403112.

21130450452 is a `hidden beast` number, since 21 + 130 + 4 + 504 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21130450459) 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, 2525508 + ... + 2533860.

It is an arithmetic number, because the mean of its divisors is an integer number (581856100).

Almost surely, 221130450452 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 21130450452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27929092800).

21130450452 is an abundant number, since it is smaller than the sum of its proper divisors (34727735148).

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

21130450452 is a wasteful number, since it uses less digits than its factorization.

21130450452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8822 (or 8814 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 21130450452 its reverse (25405403112), we get a palindrome (46535853564).

The spelling of 21130450452 in words is "twenty-one billion, one hundred thirty million, four hundred fifty thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 108 118 177 236 354 397 531 708 794 1062 1191 1588 1593 2124 2382 3186 3573 4764 6372 7146 8353 10719 14292 16706 21438 23423 25059 33412 42876 46846 50118 70269 75177 93692 100236 140538 150354 210807 225531 281076 300708 421614 451062 492827 632421 843228 902124 985654 1264842 1478481 1971308 2529684 2956962 3316141 4435443 5913924 6632282 8870886 9948423 13264564 13306329 17741772 19896846 26612658 29845269 39793692 53225316 59690538 89535807 119381076 179071614 195652319 358143228 391304638 586956957 782609276 1173913914 1760870871 2347827828 3521741742 5282612613 7043483484 10565225226 21130450452