Search a number
-
+
21130422120 = 233251931227439
BaseRepresentation
bin10011101011011110…
…001010011101101000
32000112121121122212200
4103223132022131220
5321233342001440
613412430140200
71345426424133
oct235336123550
960477548780
1021130422120
118a63632985
124118651660
131cb994a772
1410464a321a
1583a110c30
hex4eb78a768

21130422120 has 384 divisors, whose sum is σ = 75119616000. Its totient is φ = 5131537920.

The previous prime is 21130422113. The next prime is 21130422133. The reversal of 21130422120 is 2122403112.

It is a happy number.

21130422120 is a `hidden beast` number, since 211 + 30 + 422 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21130422093 and 21130422102.

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 95 ways as a sum of consecutive naturals, for example, 48132861 + ... + 48133299.

It is an arithmetic number, because the mean of its divisors is an integer number (195624000).

Almost surely, 221130422120 is an apocalyptic number.

21130422120 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 21130422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37559808000).

21130422120 is an abundant number, since it is smaller than the sum of its proper divisors (53989193880).

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

21130422120 is a wasteful number, since it uses less digits than its factorization.

21130422120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21130422120 its reverse (2122403112), we get a palindrome (23252825232).

The spelling of 21130422120 in words is "twenty-one billion, one hundred thirty million, four hundred twenty-two thousand, one hundred twenty".