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323213200122313 = 13712018369234721
BaseRepresentation
bin100100101111101011110111…
…1111110101110000111001001
31120101101212202122022202010101
41021133113233332232013021
5314331011113212403223
63103230032212245401
7125036245256064514
oct11137275776560711
91511355678282111
10323213200122313
1193a92a48355726
1230300a72910861
1310b46b49207477
1459b5860c0bd7b
1527577b51904ad
hex125f5effae1c9

323213200122313 has 16 divisors (see below), whose sum is σ = 325883827970640. Its totient is φ = 320547151872000.

The previous prime is 323213200122301. The next prime is 323213200122343. The reversal of 323213200122313 is 313221002312323.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3503530419984 + 319709669702329 = 1871772^2 + 17880427^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-323213200122313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (323213200122343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1376892793 + ... + 1377127513.

It is an arithmetic number, because the mean of its divisors is an integer number (20367739248165).

Almost surely, 2323213200122313 is an apocalyptic number.

It is an amenable number.

323213200122313 is a deficient number, since it is larger than the sum of its proper divisors (2670627848327).

323213200122313 is a wasteful number, since it uses less digits than its factorization.

323213200122313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244428.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 323213200122313 its reverse (313221002312323), we get a palindrome (636434202434636).

The spelling of 323213200122313 in words is "three hundred twenty-three trillion, two hundred thirteen billion, two hundred million, one hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 137 1201 8369 164537 234721 1146553 10051169 32156777 281899921 1377010153 1964380049 38620289177 269120066713 2359220438849 323213200122313