Search a number
-
+
21213354654330 = 2355334993813013
BaseRepresentation
bin1001101001011000111100…
…11101111111101001111010
32210002222101011022100101020
410310230132131333221322
510240024422242414310
6113041140335203310
74316420463303126
oct464543635775172
983088334270336
1021213354654330
116839595742633
122467359676536
13bab545595c67
14534a36270586
1526bc1c1cb170
hex134b1e77fa7a

21213354654330 has 64 divisors (see below), whose sum is σ = 51887494512000. Its totient is φ = 5548573046016.

The previous prime is 21213354654311. The next prime is 21213354654337. The reversal of 21213354654330 is 3345645331212.

It is not an unprimeable number, because it can be changed into a prime (21213354654337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3656904 + ... + 7469916.

It is an arithmetic number, because the mean of its divisors is an integer number (810742101750).

Almost surely, 221213354654330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21213354654330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25943747256000).

21213354654330 is an abundant number, since it is smaller than the sum of its proper divisors (30674139857670).

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

21213354654330 is a wasteful number, since it uses less digits than its factorization.

21213354654330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816575.

The product of its (nonzero) digits is 777600, while the sum is 42.

Adding to 21213354654330 its reverse (3345645331212), we get a palindrome (24558999985542).

The spelling of 21213354654330 in words is "twenty-one trillion, two hundred thirteen billion, three hundred fifty-four million, six hundred fifty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1590 3499 6998 10497 17495 20994 34990 52485 104970 185447 370894 556341 927235 1112682 1854470 2781705 3813013 5563410 7626026 11439039 19065065 22878078 38130130 57195195 114390390 202089689 404179378 606269067 1010448445 1212538134 2020896890 3031345335 6062690670 13341732487 26683464974 40025197461 66708662435 80050394922 133417324870 200125987305 400251974610 707111821811 1414223643622 2121335465433 3535559109055 4242670930866 7071118218110 10606677327165 21213354654330