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1300310311223 = 7311677509063
BaseRepresentation
bin10010111011000000100…
…010001100000100110111
311121022022212020220012102
4102323000202030010313
5132301013414424343
62433204310412315
7162641621165000
oct22730042140467
94538285226172
101300310311223
114615052a9650
1219001336109b
1395807495651
1446d148841a7
1523c562be3b8
hex12ec088c137

1300310311223 has 32 divisors (see below), whose sum is σ = 1656697881600. Its totient is φ = 1011730181280.

The previous prime is 1300310311147. The next prime is 1300310311231. The reversal of 1300310311223 is 3221130130031.

It is not a de Polignac number, because 1300310311223 - 214 = 1300310294839 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1300310311195 and 1300310311204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300310311123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2299790 + ... + 2808852.

It is an arithmetic number, because the mean of its divisors is an integer number (51771808800).

Almost surely, 21300310311223 is an apocalyptic number.

1300310311223 is a deficient number, since it is larger than the sum of its proper divisors (356387570377).

1300310311223 is an equidigital number, since it uses as much as digits as its factorization.

1300310311223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509772 (or 509758 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1300310311223 its reverse (3221130130031), we get a palindrome (4521440441254).

The spelling of 1300310311223 in words is "one trillion, three hundred billion, three hundred ten million, three hundred eleven thousand, two hundred twenty-three".

Divisors: 1 7 11 49 77 343 539 677 3773 4739 7447 33173 52129 232211 364903 509063 2554321 3563441 5599693 24944087 39197851 174608609 274384957 344635651 1920694699 2412449557 3790992161 16887146899 26536945127 118210028293 185758615889 1300310311223