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13320210000000 = 27357444007
BaseRepresentation
bin1100000111010101101001…
…1000101010100010000000
31202011101210100002221010010
43001311122120222202000
53221214242230000000
644155115304104520
72543232135604611
oct301653230524200
952141710087103
1013320210000000
114276084319132
1215b1667465140
1375812383a7b7
143409b72b5c08
15181751243d50
hexc1d5a62a880

13320210000000 has 256 divisors, whose sum is σ = 44227246152960. Its totient is φ = 3552048000000.

The previous prime is 13320209999981. The next prime is 13320210000043. The reversal of 13320210000000 is 1202331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 29777997 + ... + 30222003.

It is an arithmetic number, because the mean of its divisors is an integer number (172762680285).

Almost surely, 213320210000000 is an apocalyptic number.

13320210000000 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 13320210000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22113623076480).

13320210000000 is an abundant number, since it is smaller than the sum of its proper divisors (30907036152960).

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

13320210000000 is an frugal number, since it uses more digits than its factorization.

13320210000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444059 (or 444017 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 13320210000000 its reverse (1202331), we get a palindrome (13320211202331).

The spelling of 13320210000000 in words is "thirteen trillion, three hundred twenty billion, two hundred ten million", and thus it is an aban number.