Search a number
-
+
1323223245513 = 321331470377573
BaseRepresentation
bin10011010000010110010…
…000000110001011001001
311200111110200222120002100
4103100112100012023021
5133134430122324023
62451514054224013
7164412464002461
oct23202620061311
94614420876070
101323223245513
114701a3031284
12194548955009
1397a194bc330
144808998aba1
1524647b31c43
hex134164062c9

1323223245513 has 48 divisors (see below), whose sum is σ = 2125224751104. Its totient is φ = 787846055040.

The previous prime is 1323223245479. The next prime is 1323223245523. The reversal of 1323223245513 is 3155423223231.

1323223245513 is a `hidden beast` number, since 1 + 3 + 2 + 322 + 324 + 5 + 5 + 1 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1323223245513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1323223245523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17018995 + ... + 17096567.

It is an arithmetic number, because the mean of its divisors is an integer number (44275515648).

Almost surely, 21323223245513 is an apocalyptic number.

1323223245513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1323223245513 is a deficient number, since it is larger than the sum of its proper divisors (802001505591).

1323223245513 is a wasteful number, since it uses less digits than its factorization.

1323223245513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82326 (or 82323 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

Adding to 1323223245513 its reverse (3155423223231), we get a palindrome (4478646468744).

The spelling of 1323223245513 in words is "one trillion, three hundred twenty-three billion, two hundred twenty-three million, two hundred forty-five thousand, five hundred thirteen".

Divisors: 1 3 9 13 31 39 93 117 279 403 1209 3627 4703 14109 42327 61139 77573 145793 183417 232719 437379 550251 698157 1008449 1312137 1895309 2404763 3025347 5685927 7214289 9076041 17057781 21642867 31261919 93785757 281357271 364825819 1094477457 3283432371 4742735647 11309600389 14228206941 33928801167 42684620823 101786403501 147024805057 441074415171 1323223245513