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1220320322013 = 313412543300109
BaseRepresentation
bin10001110000100000110…
…000100110000111011101
311022122212012222102102110
4101300200300212013131
5124443204000301023
62332335111344233
7154110450406242
oct21604060460735
94278765872373
101220320322013
1143059800a851
1217860a982079
138b0ca4572a0
14430c71935c9
1521b23b2ba93
hex11c20c261dd

1220320322013 has 32 divisors (see below), whose sum is σ = 1795704583680. Its totient is φ = 732359554560.

The previous prime is 1220320322003. The next prime is 1220320322027. The reversal of 1220320322013 is 3102230230221.

It is a happy number.

It is not a de Polignac number, because 1220320322013 - 25 = 1220320321981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220320322003) 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, 3916203 + ... + 4216311.

It is an arithmetic number, because the mean of its divisors is an integer number (56115768240).

Almost surely, 21220320322013 is an apocalyptic number.

1220320322013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1220320322013 is a deficient number, since it is larger than the sum of its proper divisors (575384261667).

1220320322013 is a wasteful number, since it uses less digits than its factorization.

1220320322013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302709.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1220320322013 its reverse (3102230230221), we get a palindrome (4322550552234).

The spelling of 1220320322013 in words is "one trillion, two hundred twenty billion, three hundred twenty million, three hundred twenty-two thousand, thirteen".

Divisors: 1 3 13 39 41 123 533 1599 2543 7629 33059 99177 104263 300109 312789 900327 1355419 3901417 4066257 11704251 12304469 36913407 159958097 479874291 763177187 2289531561 9921303431 29763910293 31290264667 93870794001 406773440671 1220320322013