Search a number
-
+
21131342232 = 23371121326151
BaseRepresentation
bin10011101011100001…
…101011000110011000
32000112200100102000220
4103223201223012120
5321234110422412
613412502000040
71345440305520
oct235341530630
960480312026
1021131342232
118a64101200
124118a16020
131cb9bb0500
141046662680
1583a24368c
hex4eb86b198

21131342232 has 288 divisors, whose sum is σ = 71872093440. Its totient is φ = 5065632000.

The previous prime is 21131342213. The next prime is 21131342249. The reversal of 21131342232 is 23224313112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3432357 + ... + 3438507.

It is an arithmetic number, because the mean of its divisors is an integer number (249555880).

Almost surely, 221131342232 is an apocalyptic number.

21131342232 is a gapful number since it is divisible by the number (22) 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 21131342232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35936046720).

21131342232 is an abundant number, since it is smaller than the sum of its proper divisors (50740751208).

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

21131342232 is a wasteful number, since it uses less digits than its factorization.

21131342232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6215 (or 6187 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

Adding to 21131342232 its reverse (23224313112), we get a palindrome (44355655344).

It can be divided in two parts, 21131 and 342232, that added together give a palindrome (363363).

The spelling of 21131342232 in words is "twenty-one billion, one hundred thirty-one million, three hundred forty-two thousand, two hundred thirty-two".