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13334412300 = 223521147149577
BaseRepresentation
bin11000110101100101…
…01111110000001100
31021102022001022220020
430122302233300030
5204302102143200
610043054422140
7651303430416
oct143262576014
937368038806
1013334412300
115722a23360
122701801950
13134675abc1
14906d399b6
155309abea0
hex31acafc0c

13334412300 has 288 divisors, whose sum is σ = 43347225600. Its totient is φ = 3137126400.

The previous prime is 13334412283. The next prime is 13334412313. The reversal of 13334412300 is 321443331.

13334412300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 23109612 + ... + 23110188.

It is an arithmetic number, because the mean of its divisors is an integer number (150511200).

Almost surely, 213334412300 is an apocalyptic number.

13334412300 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 13334412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21673612800).

13334412300 is an abundant number, since it is smaller than the sum of its proper divisors (30012813300).

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

13334412300 is a wasteful number, since it uses less digits than its factorization.

13334412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 13334412300 its reverse (321443331), we get a palindrome (13655855631).

The spelling of 13334412300 in words is "thirteen billion, three hundred thirty-four million, four hundred twelve thousand, three hundred".