Search a number
-
+
21232231020 = 2232571113117839
BaseRepresentation
bin10011110001100010…
…100010001001101100
32000210201012002102200
4103301202202021230
5321440422343040
613430504221500
71351103662110
oct236142421154
960721162380
1021232231020
11900604a470
12414676a890
132004a75710
141055c05740
15844021630
hex4f18a226c

21232231020 has 288 divisors, whose sum is σ = 86473820160. Its totient is φ = 4072481280.

The previous prime is 21232230989. The next prime is 21232231037. The reversal of 21232231020 is 2013223212.

21232231020 is a `hidden beast` number, since 2 + 12 + 322 + 310 + 20 = 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 = 21232230984 and 21232231002.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121261 + ... + 239099.

It is an arithmetic number, because the mean of its divisors is an integer number (300256320).

Almost surely, 221232231020 is an apocalyptic number.

21232231020 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 21232231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43236910080).

21232231020 is an abundant number, since it is smaller than the sum of its proper divisors (65241589140).

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

21232231020 is a wasteful number, since it uses less digits than its factorization.

21232231020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117885 (or 117880 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21232231020 its reverse (2013223212), we get a palindrome (23245454232).

It can be divided in two parts, 212322 and 31020, that added together give a palindrome (243342).

The spelling of 21232231020 in words is "twenty-one billion, two hundred thirty-two million, two hundred thirty-one thousand, twenty".