Search a number
-
+
2231310022020 = 22325196116365617
BaseRepresentation
bin100000011110000100011…
…100001111010110000100
321220022101211110110012200
4200132010130033112010
5243024210331201040
64425014421314500
7320130641152062
oct40360434172604
97808354413180
102231310022020
11790325378a42
12300539265a30
131325474821a1
1479dd2d89032
153d09509a630
hex2078470f584

2231310022020 has 288 divisors, whose sum is σ = 7285865758080. Its totient is φ = 551048417280.

The previous prime is 2231310021971. The next prime is 2231310022033. The reversal of 2231310022020 is 202200131322.

It is a super-3 number, since 3×22313100220203 (a number of 38 digits) contains 333 as substring.

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 = 2231310021984 and 2231310022002.

It is an unprimeable number.

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, 33972252 + ... + 34037868.

Almost surely, 22231310022020 is an apocalyptic number.

2231310022020 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 2231310022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642932879040).

2231310022020 is an abundant number, since it is smaller than the sum of its proper divisors (5054555736060).

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

2231310022020 is a wasteful number, since it uses less digits than its factorization.

2231310022020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65875 (or 65870 counting only the distinct ones).

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

Adding to 2231310022020 its reverse (202200131322), we get a palindrome (2433510153342).

The spelling of 2231310022020 in words is "two trillion, two hundred thirty-one billion, three hundred ten million, twenty-two thousand, twenty".