Search a number
-
+
21120111320 = 23572111138669
BaseRepresentation
bin10011101010110110…
…110101001011011000
32000111220012211010012
4103222312311023120
5321223222030240
613411421141052
71345242661400
oct235266651330
960456184105
1021120111320
118a58830260
1241150ba788
131cb777a5b9
141044d7b800
15839275b65
hex4eadb52d8

21120111320 has 192 divisors, whose sum is σ = 60844672800. Its totient is φ = 6523883520.

The previous prime is 21120111319. The next prime is 21120111323. The reversal of 21120111320 is 2311102112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 21120111295 and 21120111304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120111323) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2431946 + ... + 2440614.

Almost surely, 221120111320 is an apocalyptic number.

21120111320 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 21120111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30422336400).

21120111320 is an abundant number, since it is smaller than the sum of its proper divisors (39724561480).

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

21120111320 is a wasteful number, since it uses less digits than its factorization.

21120111320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8818 (or 8807 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 21120111320 its reverse (2311102112), we get a palindrome (23431213432).

The spelling of 21120111320 in words is "twenty-one billion, one hundred twenty million, one hundred eleven thousand, three hundred twenty".