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13301110020 = 223511374353239
BaseRepresentation
bin11000110001100111…
…01101010100000100
31021022222101101202110
430120303231110010
5204220041010040
610035504541020
7650420366262
oct143063552404
937288341673
1013301110020
115706147910
1226b2621770
13133c89ab03
1490274b432
1552cace980
hex318ced504

13301110020 has 384 divisors, whose sum is σ = 43684945920. Its totient is φ = 2994001920.

The previous prime is 13301110019. The next prime is 13301110049. The reversal of 13301110020 is 2001110331.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13301109978 and 13301110005.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55653061 + ... + 55653299.

It is an arithmetic number, because the mean of its divisors is an integer number (113762880).

Almost surely, 213301110020 is an apocalyptic number.

13301110020 is a gapful number since it is divisible by the number (10) 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 13301110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21842472960).

13301110020 is an abundant number, since it is smaller than the sum of its proper divisors (30383835900).

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

13301110020 is a wasteful number, since it uses less digits than its factorization.

13301110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 13301110020 its reverse (2001110331), we get a palindrome (15302220351).

It can be divided in two parts, 13301 and 110020, that added together give a palindrome (123321).

The spelling of 13301110020 in words is "thirteen billion, three hundred one million, one hundred ten thousand, twenty".