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13330323000 = 2332533740031
BaseRepresentation
bin11000110101000110…
…01001011000111000
31021102000100120102200
430122203021120320
5204300030314000
610042431030200
7651223606311
oct143243113070
937360316380
1013330323000
11572068aa75
12270036b360
1313459587b7
14906593608
15530450500
hex31a8c9638

13330323000 has 192 divisors, whose sum is σ = 46275390720. Its totient is φ = 3458592000.

The previous prime is 13330322981. The next prime is 13330323011. The reversal of 13330323000 is 32303331.

13330323000 is a `hidden beast` number, since 1 + 3 + 330 + 32 + 300 + 0 = 666.

It is a super-2 number, since 2×133303230002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312985 + ... + 353015.

It is an arithmetic number, because the mean of its divisors is an integer number (241017660).

Almost surely, 213330323000 is an apocalyptic number.

13330323000 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 13330323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23137695360).

13330323000 is an abundant number, since it is smaller than the sum of its proper divisors (32945067720).

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

13330323000 is a wasteful number, since it uses less digits than its factorization.

13330323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40095 (or 40078 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 13330323000 its reverse (32303331), we get a palindrome (13362626331).

The spelling of 13330323000 in words is "thirteen billion, three hundred thirty million, three hundred twenty-three thousand".