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1321100000000 = 2858111201
BaseRepresentation
bin10011001110010111101…
…100100011101100000000
311200021222201201111210122
4103032113230203230000
5133121103100000000
62450523245515412
7164306042501354
oct23162754435400
94607881644718
101321100000000
1146a303566520
12194055872b68
139776b652a41
1447d279ad464
1524571527085
hex13397b23b00

1321100000000 has 324 divisors, whose sum is σ = 3598955188584. Its totient is φ = 480000000000.

The previous prime is 1321099999991. The next prime is 1321100000009. The reversal of 1321100000000 is 11231.

It is an interprime number because it is at equal distance from previous prime (1321099999991) and next prime (1321100000009).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (1321100000009) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1099999400 + ... + 1100000600.

Almost surely, 21321100000000 is an apocalyptic number.

1321100000000 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 1321100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799477594292).

1321100000000 is an abundant number, since it is smaller than the sum of its proper divisors (2277855188584).

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

1321100000000 is an frugal number, since it uses more digits than its factorization.

1321100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 1321100000000 its reverse (11231), we get a palindrome (1321100011231).

The spelling of 1321100000000 in words is "one trillion, three hundred twenty-one billion, one hundred million", and thus it is an aban number.