Search a number
-
+
231301222020 = 2232511413139103
BaseRepresentation
bin1101011101101010100…
…0001000111010000100
3211010000210001111220200
43113122220020322010
512242201103101040
6254131443530500
722465600643031
oct3273250107204
9733023044820
10231301222020
118a104567630
12389b2389a30
1318a7215951b
14b2a3288388
15603b430630
hex35daa08e84

231301222020 has 288 divisors, whose sum is σ = 786656392704. Its totient is φ = 54524620800.

The previous prime is 231301221967. The next prime is 231301222021. The reversal of 231301222020 is 20222103132.

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 = 231301221984 and 231301222002.

It is not an unprimeable number, because it can be changed into a prime (231301222021) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 25404789 + ... + 25413891.

It is an arithmetic number, because the mean of its divisors is an integer number (2731445808).

Almost surely, 2231301222020 is an apocalyptic number.

231301222020 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 231301222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393328196352).

231301222020 is an abundant number, since it is smaller than the sum of its proper divisors (555355170684).

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

231301222020 is a wasteful number, since it uses less digits than its factorization.

231301222020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9483 (or 9478 counting only the distinct ones).

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

Adding to 231301222020 its reverse (20222103132), we get a palindrome (251523325152).

The spelling of 231301222020 in words is "two hundred thirty-one billion, three hundred one million, two hundred twenty-two thousand, twenty".