Search a number
-
+
21343100364 = 22321776145827
BaseRepresentation
bin10011111000001001…
…011101110111001100
32001002102210211120200
4103320021131313030
5322202313202424
613445504413500
71353621234255
oct237011356714
961072724520
1021343100364
119062695223
124177917290
132021a23691
141066825b2c
1584db218c9
hex4f825ddcc

21343100364 has 72 divisors (see below), whose sum is σ = 57200493168. Its totient is φ = 6686929920.

The previous prime is 21343100327. The next prime is 21343100407. The reversal of 21343100364 is 46300134312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442819 + ... + 488645.

It is an arithmetic number, because the mean of its divisors is an integer number (794451294).

Almost surely, 221343100364 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 21343100364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28600246584).

21343100364 is an abundant number, since it is smaller than the sum of its proper divisors (35857392804).

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

21343100364 is a wasteful number, since it uses less digits than its factorization.

21343100364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46615 (or 46610 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 21343100364 its reverse (46300134312), we get a palindrome (67643234676).

The spelling of 21343100364 in words is "twenty-one billion, three hundred forty-three million, one hundred thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 761 1522 2283 3044 4566 6849 9132 12937 13698 25874 27396 38811 45827 51748 77622 91654 116433 137481 155244 183308 232866 274962 412443 465732 549924 779059 824886 1558118 1649772 2337177 3116236 4674354 7011531 9348708 14023062 28046124 34874347 69748694 104623041 139497388 209246082 313869123 418492164 592863899 627738246 1185727798 1255476492 1778591697 2371455596 3557183394 5335775091 7114366788 10671550182 21343100364