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1304220305141 = 13557318001909
BaseRepresentation
bin10010111110101001100…
…101101000011011110101
311121200102100121011111222
4102332221211220123311
5132332020344231031
62435052303240125
7163140536452115
oct22765145503365
94550370534458
101304220305141
114631313a7986
121909248a9045
1395cab562410
14471a5c89045
1523dd46b5e7b
hex12fa99686f5

1304220305141 has 8 divisors (see below), whose sum is σ = 1404797048760. Its totient is φ = 1203679576512.

The previous prime is 1304220305117. The next prime is 1304220305147. The reversal of 1304220305141 is 1415030224031.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4506302641 + 1299714002500 = 67129^2 + 1140050^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1304220305141 - 234 = 1287040435957 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1304220305141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304220305147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8928506 + ... + 9073403.

It is an arithmetic number, because the mean of its divisors is an integer number (175599631095).

Almost surely, 21304220305141 is an apocalyptic number.

It is an amenable number.

1304220305141 is a deficient number, since it is larger than the sum of its proper divisors (100576743619).

1304220305141 is a wasteful number, since it uses less digits than its factorization.

1304220305141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18007495.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 1304220305141 its reverse (1415030224031), we get a palindrome (2719250529172).

The spelling of 1304220305141 in words is "one trillion, three hundred four billion, two hundred twenty million, three hundred five thousand, one hundred forty-one".

Divisors: 1 13 5573 72449 18001909 234024817 100324638857 1304220305141