Search a number
-
+
300031020012220 = 2257531523172115427
BaseRepresentation
bin100010000111000000110101…
…0010111101001001010111100
31110100022200111122120110221121
41010032001222113221022330
5303311202012110342340
62542040203042440324
7120124345241306350
oct10416015227511274
91410280448513847
10300031020012220
1187665494005862
12297980316630a4
13cb54a5abc2c33
14541381651b460
1524a4766cbd94a
hex110e06a5e92bc

300031020012220 has 192 divisors, whose sum is σ = 734616673975296. Its totient is φ = 100795468400640.

The previous prime is 300031020012209. The next prime is 300031020012323. The reversal of 300031020012220 is 22210020130003.

It is a super-2 number, since 2×3000310200122202 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 300031020012194 and 300031020012203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19448428147 + ... + 19448443573.

It is an arithmetic number, because the mean of its divisors is an integer number (3826128510288).

Almost surely, 2300031020012220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 300031020012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367308336987648).

300031020012220 is an abundant number, since it is smaller than the sum of its proper divisors (434585653963076).

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

300031020012220 is a wasteful number, since it uses less digits than its factorization.

300031020012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18740 (or 18738 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 300031020012220 its reverse (22210020130003), we get a palindrome (322241040142223).

The spelling of 300031020012220 in words is "three hundred trillion, thirty-one billion, twenty million, twelve thousand, two hundred twenty".