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1320444312341 = 721110332371543
BaseRepresentation
bin10011001101110000100…
…111010011101100010101
311200020022000221010102112
4103031300213103230111
5133113232220443331
62450334224120405
7164253561315500
oct23156047235425
94606260833375
101320444312341
11469aa74326a0
12193ab2166105
1397695859c8b
1447ca488c137
1524533ba932b
hex133709d3b15

1320444312341 has 24 divisors (see below), whose sum is σ = 1677288723264. Its totient is φ = 1027921164480.

The previous prime is 1320444312277. The next prime is 1320444312373. The reversal of 1320444312341 is 1432134440231.

It is not a de Polignac number, because 1320444312341 - 26 = 1320444312277 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1320444312298 and 1320444312307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320404312341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 628985 + ... + 1742558.

It is an arithmetic number, because the mean of its divisors is an integer number (69887030136).

Almost surely, 21320444312341 is an apocalyptic number.

1320444312341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1320444312341 is a deficient number, since it is larger than the sum of its proper divisors (356844410923).

1320444312341 is a wasteful number, since it uses less digits than its factorization.

1320444312341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372601 (or 2372594 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 1320444312341 its reverse (1432134440231), we get a palindrome (2752578752572).

The spelling of 1320444312341 in words is "one trillion, three hundred twenty billion, four hundred forty-four million, three hundred twelve thousand, three hundred forty-one".

Divisors: 1 7 11 49 77 539 1033 7231 11363 50617 79541 556787 2371543 16600801 26086973 116205607 182608811 1278261677 2449803919 17148627433 26947843109 120040392031 188634901763 1320444312341