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1321320000000 = 29357711213
BaseRepresentation
bin10011001110100100110…
…011110010101000000000
311200022120001200200001210
4103032210303302220000
5133122030410000000
62451001145130120
7164314353454650
oct23164463625000
94608501620053
101321320000000
1146a406769800
121940b7489940
13977a50c0460
1447d48cba360
15245859d2350
hex133a4cf2a00

1321320000000 has 1920 divisors, whose sum is σ = 5952566011392. Its totient is φ = 253440000000.

The previous prime is 1321319999981. The next prime is 1321320000031. The reversal of 1321320000000 is 231231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 101639999994 + ... + 101640000006.

Almost surely, 21321320000000 is an apocalyptic number.

1321320000000 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 1321320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976283005696).

1321320000000 is an abundant number, since it is smaller than the sum of its proper divisors (4631246011392).

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

1321320000000 is an frugal number, since it uses more digits than its factorization.

1321320000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 41 counting only the distinct ones).

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

Adding to 1321320000000 its reverse (231231), we get a palindrome (1321320231231).

The spelling of 1321320000000 in words is "one trillion, three hundred twenty-one billion, three hundred twenty million", and thus it is an aban number.