Search a number
-
+
323303121330123 = 3114193112496909
BaseRepresentation
bin100100110000010101101111…
…1101100111001111111001011
31120101201110212101221101200110
41021200223133230321333023
5314333444243030030443
63103335223100005403
7125045610510535314
oct11140533754717713
91511643771841613
10323303121330123
11940180a1550000
1230316389230863
1310b5247990003c
1459b9d5147960b
152759cc9656233
hex1260adfb39fcb

323303121330123 has 80 divisors (see below), whose sum is σ = 515232603008000. Its totient is φ = 179640553118400.

The previous prime is 323303121330067. The next prime is 323303121330127. The reversal of 323303121330123 is 321033121303323.

It is not a de Polignac number, because 323303121330123 - 210 = 323303121329099 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (323303121330127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19622193 + ... + 32119101.

It is an arithmetic number, because the mean of its divisors is an integer number (6440407537600).

Almost surely, 2323303121330123 is an apocalyptic number.

323303121330123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

323303121330123 is a deficient number, since it is larger than the sum of its proper divisors (191929481677877).

323303121330123 is a wasteful number, since it uses less digits than its factorization.

323303121330123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12497006 (or 12496973 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 30.

Adding to 323303121330123 its reverse (321033121303323), we get a palindrome (644336242633446).

The spelling of 323303121330123 in words is "three hundred twenty-three trillion, three hundred three billion, one hundred twenty-one million, three hundred thirty thousand, one hundred twenty-three".

Divisors: 1 3 11 19 31 33 57 93 121 209 341 363 589 627 1023 1331 1767 2299 3751 3993 6479 6897 11253 14641 19437 25289 41261 43923 71269 75867 123783 213807 278179 453871 783959 834537 1361613 2351877 8623549 12496909 25870647 37490727 137465999 237441271 387404179 412397997 712323813 1162212537 1512125989 2611853981 4261445969 4536377967 7360679401 7835561943 12784337907 16633385879 22082038203 28730393791 46875905659 49900157637 80967473411 86191181373 140627716977 182967244669 242902420233 316034331701 515634962249 548901734007 890642207521 948102995103 1546904886747 2671926622563 3476377648711 5671984584739 9797064282731 10429132946133 17015953754217 29391192848193 107767707110041 323303121330123