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1311012310320 = 24325831732733
BaseRepresentation
bin10011000100111110011…
…011000100110100110000
311122022221200221210001100
4103010332123010310300
5132434423122412240
62442134251404400
7163501051525356
oct23047633046460
94568850853040
101311012310320
11465aa72a89a9
121920bb453700
13968217420ab
144764bd417d6
1524180ae6e30
hex1313e6c4d30

1311012310320 has 360 divisors, whose sum is σ = 4487881913424. Its totient is φ = 342926235648.

The previous prime is 1311012310319. The next prime is 1311012310327. The reversal of 1311012310320 is 230132101131.

1311012310320 is a `hidden beast` number, since 1 + 3 + 110 + 1 + 231 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 1311012310293 and 1311012310302.

It is not an unprimeable number, because it can be changed into a prime (1311012310327) 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 71 ways as a sum of consecutive naturals, for example, 1788556674 + ... + 1788557406.

Almost surely, 21311012310320 is an apocalyptic number.

1311012310320 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 1311012310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243940956712).

1311012310320 is an abundant number, since it is smaller than the sum of its proper divisors (3176869603104).

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

1311012310320 is a wasteful number, since it uses less digits than its factorization.

1311012310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1311012310320 its reverse (230132101131), we get a palindrome (1541144411451).

The spelling of 1311012310320 in words is "one trillion, three hundred eleven billion, twelve million, three hundred ten thousand, three hundred twenty".