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313323300323 = 114196716811
BaseRepresentation
bin1001000111100111000…
…01100010010111100011
31002221202001001210212122
410203303201202113203
520113141231102243
6355534433414455
731431305052455
oct4436341422743
91087661053778
10313323300323
11110974920000
125088340a42b
1323714198a77
14112447c82d5
15823c1c3668
hex48f38625e3

313323300323 has 40 divisors (see below), whose sum is σ = 368229873600. Its totient is φ = 265804426800.

The previous prime is 313323300253. The next prime is 313323300337. The reversal of 313323300323 is 323003323313.

It is not a de Polignac number, because 313323300323 - 28 = 313323300067 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313323300292 and 313323300301.

It is not an unprimeable number, because it can be changed into a prime (313323300343) 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 39 ways as a sum of consecutive naturals, for example, 18629588 + ... + 18646398.

It is an arithmetic number, because the mean of its divisors is an integer number (9205746840).

Almost surely, 2313323300323 is an apocalyptic number.

313323300323 is a deficient number, since it is larger than the sum of its proper divisors (54906573277).

313323300323 is an equidigital number, since it uses as much as digits as its factorization.

313323300323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16941 (or 16908 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 26.

Adding to 313323300323 its reverse (323003323313), we get a palindrome (636326623636).

The spelling of 313323300323 in words is "three hundred thirteen billion, three hundred twenty-three million, three hundred thousand, three hundred twenty-three".

Divisors: 1 11 19 67 121 209 737 1273 1331 2299 8107 14003 14641 16811 25289 89177 154033 184921 278179 319409 980947 1126337 1694363 2034131 3513499 12389707 18637993 21400403 22375441 38648489 136286777 235404433 246129851 425133379 1499154547 2589448763 4676467169 16490700017 28483936393 313323300323