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13104444300 = 2235256377587
BaseRepresentation
bin11000011010001010…
…11111001110001100
31020211021022202002220
430031011133032030
5203314214204200
610004201415340
7642511636653
oct141505371614
936737282086
1013104444300
115615131a62
12265879a550
13130ac1036c
148c459619a
1551a6d34a0
hex30d15f38c

13104444300 has 72 divisors (see below), whose sum is σ = 37983360576. Its totient is φ = 3488266560.

The previous prime is 13104444263. The next prime is 13104444319. The reversal of 13104444300 is 344440131.

13104444300 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 23 ways as a sum of consecutive naturals, for example, 130107 + ... + 207693.

Almost surely, 213104444300 is an apocalyptic number.

13104444300 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 13104444300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18991680288).

13104444300 is an abundant number, since it is smaller than the sum of its proper divisors (24878916276).

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

13104444300 is a wasteful number, since it uses less digits than its factorization.

13104444300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78167 (or 78160 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13104444300 its reverse (344440131), we get a palindrome (13448884431).

The spelling of 13104444300 in words is "thirteen billion, one hundred four million, four hundred forty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 563 1126 1689 2252 2815 3378 5630 6756 8445 11260 14075 16890 28150 33780 42225 56300 77587 84450 155174 168900 232761 310348 387935 465522 775870 931044 1163805 1551740 1939675 2327610 3879350 4655220 5819025 7758700 11638050 23276100 43681481 87362962 131044443 174725924 218407405 262088886 436814810 524177772 655222215 873629620 1092037025 1310444430 2184074050 2620888860 3276111075 4368148100 6552222150 13104444300