Search a number
-
+
21332112120 = 233251123092333
BaseRepresentation
bin10011110111011111…
…100011001011111000
32001001200010120112200
4103313133203023320
5322142010041440
613444433110200
71353425650464
oct236737431370
961050116480
1021332112120
11905746a630
1241740b8360
13201c677067
1410651a54a4
1584cba0c30
hex4f77e32f8

21332112120 has 192 divisors, whose sum is σ = 75697221600. Its totient is φ = 5166965760.

The previous prime is 21332112103. The next prime is 21332112121. The reversal of 21332112120 is 2121123312.

21332112120 is a `hidden beast` number, since 213 + 321 + 12 + 120 = 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 = 21332112093 and 21332112102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21332112121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9142474 + ... + 9144806.

Almost surely, 221332112120 is an apocalyptic number.

21332112120 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 21332112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37848610800).

21332112120 is an abundant number, since it is smaller than the sum of its proper divisors (54365109480).

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

21332112120 is a wasteful number, since it uses less digits than its factorization.

21332112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4670 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21332112120 its reverse (2121123312), we get a palindrome (23453235432).

The spelling of 21332112120 in words is "twenty-one billion, three hundred thirty-two million, one hundred twelve thousand, one hundred twenty".