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13301021300020 = 2254464171489753
BaseRepresentation
bin1100000110001110001010…
…1001100101010100110100
31202002120021001011222021021
43001203202221211110310
53220410442423100040
644142223235430524
72541652464420106
oct301434251452464
952076231158237
1013301021300020
114268a278488a3
1215a99b1155444
1375638627125c
1433dab6a5b576
15180ecb83324a
hexc18e2a65534

13301021300020 has 24 divisors (see below), whose sum is σ = 27932226049224. Its totient is φ = 5320393030656.

The previous prime is 13301021299817. The next prime is 13301021300023. The reversal of 13301021300020 is 2000312010331.

It can be written as a sum of positive squares in 4 ways, for example, as 710858079376 + 12590163220644 = 843124^2 + 3548262^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13301021299967 and 13301021300003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301021300023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8183464 + ... + 9673216.

It is an arithmetic number, because the mean of its divisors is an integer number (1163842752051).

Almost surely, 213301021300020 is an apocalyptic number.

13301021300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13301021300020 is an abundant number, since it is smaller than the sum of its proper divisors (14631204749204).

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

13301021300020 is a wasteful number, since it uses less digits than its factorization.

13301021300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936179 (or 1936177 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13301021300020 its reverse (2000312010331), we get a palindrome (15301333310351).

The spelling of 13301021300020 in words is "thirteen trillion, three hundred one billion, twenty-one million, three hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 446417 892834 1489753 1785668 2232085 2979506 4464170 5959012 7448765 8928340 14897530 29795060 665051065001 1330102130002 2660204260004 3325255325005 6650510650010 13301021300020