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145131223313 = 3371249344801
BaseRepresentation
bin1000011100101001111…
…1101011100100010001
3111212121110000000212002
42013022133223210101
54334212043121223
6150401121443345
713325326021016
oct2071237534421
9455543000762
10145131223313
115660587916a
12241641a0555
13108bb9770cb
14704accb70d
153b96448e28
hex21ca7eb911

145131223313 has 8 divisors (see below), whose sum is σ = 145678845000. Its totient is φ = 144584294400.

The previous prime is 145131223291. The next prime is 145131223331. The reversal of 145131223313 is 313322131541.

145131223313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3320986384 + 141810236929 = 57628^2 + 376577^2 .

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 145131223313 - 222 = 145127029009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145131223213) 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 7 ways as a sum of consecutive naturals, for example, 248513 + ... + 593313.

It is an arithmetic number, because the mean of its divisors is an integer number (18209855625).

Almost surely, 2145131223313 is an apocalyptic number.

It is an amenable number.

145131223313 is a deficient number, since it is larger than the sum of its proper divisors (547621687).

145131223313 is a wasteful number, since it uses less digits than its factorization.

145131223313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346387.

The product of its digits is 6480, while the sum is 29.

Adding to 145131223313 its reverse (313322131541), we get a palindrome (458453354854).

The spelling of 145131223313 in words is "one hundred forty-five billion, one hundred thirty-one million, two hundred twenty-three thousand, three hundred thirteen".

Divisors: 1 337 1249 344801 420913 116197937 430656449 145131223313