Search a number
-
+
21131233223100 = 223527112136397007
BaseRepresentation
bin1001100110111111111111…
…01001100110000110111100
32202211010101222100101211020
410303133333221212012330
510232203231201114400
6112535315440024140
74310452441534620
oct463377751460674
982733358311736
1021131233223100
11680778429a900
12245345b302050
13ba3888aab5c0
14530a8586b180
15269a128602a0
hex1337ffa661bc

21131233223100 has 432 divisors, whose sum is σ = 82711573453824. Its totient is φ = 4053143001600.

The previous prime is 21131233223083. The next prime is 21131233223123. The reversal of 21131233223100 is 132233213112.

It is a super-2 number, since 2×211312332231002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 104797 + ... + 6501803.

Almost surely, 221131233223100 is an apocalyptic number.

21131233223100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21131233223100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41355786726912).

21131233223100 is an abundant number, since it is smaller than the sum of its proper divisors (61580340230724).

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

21131233223100 is a wasteful number, since it uses less digits than its factorization.

21131233223100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6397066 (or 6397048 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 21131233223100 its reverse (132233213112), we get a palindrome (21263466436212).

The spelling of 21131233223100 in words is "twenty-one trillion, one hundred thirty-one billion, two hundred thirty-three million, two hundred twenty-three thousand, one hundred".