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13301100000 = 25325514779
BaseRepresentation
bin11000110001100111…
…01010110111100000
31021022222100220000100
430120303222313200
5204220040200000
610035504422400
7650420325126
oct143063526740
937288326010
1013301100000
115706140331
1226b2617a00
13133c896396
14902747916
1552cacba00
hex318ceade0

13301100000 has 216 divisors, whose sum is σ = 47281426920. Its totient is φ = 3546720000.

The previous prime is 13301099963. The next prime is 13301100037. The reversal of 13301100000 is 110331.

13301100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13301099963) and next prime (13301100037).

It is a super-2 number, since 2×133011000002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 892611 + ... + 907389.

It is an arithmetic number, because the mean of its divisors is an integer number (218895495).

Almost surely, 213301100000 is an apocalyptic number.

13301100000 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 13301100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23640713460).

13301100000 is an abundant number, since it is smaller than the sum of its proper divisors (33980326920).

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

13301100000 is an equidigital number, since it uses as much as digits as its factorization.

13301100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14820 (or 14789 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 13301100000 its reverse (110331), we get a palindrome (13301210331).

The spelling of 13301100000 in words is "thirteen billion, three hundred one million, one hundred thousand".