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1323130016 = 251323612267
BaseRepresentation
bin100111011011101…
…0101110010100000
310102012200222011102
41032313111302200
510202210130031
6335143133532
744534263625
oct11667256240
93365628142
101323130016
1161996618a
1230b1442a8
13181175c90
14c7a2234c
157b25d7cb
hex4edd5ca0

1323130016 has 96 divisors (see below), whose sum is σ = 2976559488. Its totient is φ = 574295040.

The previous prime is 1323129979. The next prime is 1323130049. The reversal of 1323130016 is 6100313231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1323130016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 582515 + ... + 584781.

It is an arithmetic number, because the mean of its divisors is an integer number (31005828).

Almost surely, 21323130016 is an apocalyptic number.

1323130016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323130016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488279744).

1323130016 is an abundant number, since it is smaller than the sum of its proper divisors (1653429472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1323130016 is a wasteful number, since it uses less digits than its factorization.

1323130016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2374 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 1323130016 is about 36374.8541715290. The cubic root of 1323130016 is about 1097.8276731510.

Adding to 1323130016 its reverse (6100313231), we get a palindrome (7423443247).

The spelling of 1323130016 in words is "one billion, three hundred twenty-three million, one hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 61 92 104 122 184 208 244 299 368 416 488 598 736 793 976 1196 1403 1586 1952 2267 2392 2806 3172 4534 4784 5612 6344 9068 9568 11224 12688 18136 18239 22448 25376 29471 36272 36478 44896 52141 58942 72544 72956 104282 117884 138287 145912 208564 235768 276574 291824 417128 471536 553148 583648 677833 834256 943072 1106296 1355666 1668512 1797731 2212592 2711332 3180601 3595462 4425184 5422664 6361202 7190924 10845328 12722404 14381848 21690656 25444808 28763696 41347813 50889616 57527392 82695626 101779232 165391252 330782504 661565008 1323130016