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21510453132 = 223271514491259
BaseRepresentation
bin10100000010000111…
…110111011110001100
32001112002201020102100
4110002013313132030
5323023134000012
613514243355100
71361022556230
oct240207673614
961462636370
1021510453132
1191390a98a3
124203982a90
13204a5b9a9c
141080b4a5c0
1585d67c8dc
hex5021f778c

21510453132 has 144 divisors (see below), whose sum is σ = 62741952000. Its totient is φ = 6086707200.

The previous prime is 21510453131. The next prime is 21510453137. The reversal of 21510453132 is 23135401512.

21510453132 is a `hidden beast` number, since 21 + 5 + 104 + 531 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21510453096 and 21510453105.

It is not an unprimeable number, because it can be changed into a prime (21510453131) 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 47 ways as a sum of consecutive naturals, for example, 17084719 + ... + 17085977.

It is an arithmetic number, because the mean of its divisors is an integer number (435708000).

Almost surely, 221510453132 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 21510453132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31370976000).

21510453132 is an abundant number, since it is smaller than the sum of its proper divisors (41231498868).

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

21510453132 is a wasteful number, since it uses less digits than its factorization.

21510453132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 21510453132 its reverse (23135401512), we get a palindrome (44645854644).

The spelling of 21510453132 in words is "twenty-one billion, five hundred ten million, four hundred fifty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 151 252 302 449 453 604 898 906 1057 1259 1347 1359 1796 1812 2114 2518 2694 2718 3143 3171 3777 4041 4228 5036 5388 5436 6286 6342 7554 8082 8813 9429 9513 11331 12572 12684 15108 16164 17626 18858 19026 22662 26439 28287 35252 37716 38052 45324 52878 56574 67799 79317 105756 113148 135598 158634 190109 203397 271196 317268 380218 406794 474593 565291 570327 610191 760436 813588 949186 1130582 1140654 1220382 1330763 1423779 1695873 1710981 1898372 2261164 2281308 2440764 2661526 2847558 3391746 3421962 3957037 3992289 4271337 5087619 5323052 5695116 6783492 6843924 7914074 7984578 8542674 10175238 11871111 11976867 15828148 15969156 17085348 20350476 23742222 23953734 35613333 47484444 47907468 71226666 85358941 142453332 170717882 256076823 341435764 512153646 597512587 768230469 1024307292 1195025174 1536460938 1792537761 2390050348 3072921876 3585075522 5377613283 7170151044 10755226566 21510453132