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13320233210000 = 245417113693401
BaseRepresentation
bin1100000111010101101111…
…0001001101000010010000
31202011101211221210010020202
43001311123301031002100
53221214314200210000
644155121453354332
72543232540103343
oct301653361150220
952141757703222
1013320233210000
114276096431152
1215b16731989a8
137581285a6022
143409ba3d845a
151817532cadd5
hexc1d5bc4d090

13320233210000 has 200 divisors, whose sum is σ = 34448885346744. Its totient is φ = 4970291200000.

The previous prime is 13320233209963. The next prime is 13320233210023. The reversal of 13320233210000 is 1233202331.

It can be written as a sum of positive squares in 20 ways, for example, as 12510312408064 + 809920801936 = 3536992^2 + 899956^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×133202332100002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18863300 + ... + 19556700.

Almost surely, 213320233210000 is an apocalyptic number.

13320233210000 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 13320233210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17224442673372).

13320233210000 is an abundant number, since it is smaller than the sum of its proper divisors (21128652136744).

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

13320233210000 is a wasteful number, since it uses less digits than its factorization.

13320233210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693559 (or 693538 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 13320233210000 its reverse (1233202331), we get a palindrome (13321466412331).

The spelling of 13320233210000 in words is "thirteen trillion, three hundred twenty billion, two hundred thirty-three million, two hundred ten thousand".