Search a number
-
+
1003030232020 = 225291729362469
BaseRepresentation
bin11101001100010010100…
…00101011101111010100
310112212222220100011100121
432212021100223233110
5112413201214411040
62044441414521324
7132316011204505
oct16461120535724
93485886304317
101003030232020
11357423465083
12142488966244
137377c00683b
1436792a7cbac
151b1577ccc4a
hexe98942bbd4

1003030232020 has 24 divisors (see below), whose sum is σ = 2178996712200. Its totient is φ = 387377192832.

The previous prime is 1003030231999. The next prime is 1003030232077. The reversal of 1003030232020 is 202320303001.

1003030232020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 394901641744 + 608128590276 = 628412^2 + 779826^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1003030231985 and 1003030232003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 864680655 + ... + 864681814.

It is an arithmetic number, because the mean of its divisors is an integer number (90791529675).

Almost surely, 21003030232020 is an apocalyptic number.

1003030232020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003030232020 is an abundant number, since it is smaller than the sum of its proper divisors (1175966480180).

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

1003030232020 is a wasteful number, since it uses less digits than its factorization.

1003030232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729362507 (or 1729362505 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 1003030232020 its reverse (202320303001), we get a palindrome (1205350535021).

The spelling of 1003030232020 in words is "one trillion, three billion, thirty million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 1729362469 3458724938 6917449876 8646812345 17293624690 34587249380 50151511601 100303023202 200606046404 250757558005 501515116010 1003030232020