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1323420012 = 2233172109389
BaseRepresentation
bin100111011100001…
…1100100101101100
310102020020200222000
41032320130211230
510202243420022
6335153252300
744536612245
oct11670344554
93366220860
101323420012
1161a044052
1230b264090
13181247c85
14c7a99ccc
157b2b96ac
hex4ee1c96c

1323420012 has 144 divisors (see below), whose sum is σ = 3687684000. Its totient is φ = 410323968.

The previous prime is 1323420011. The next prime is 1323420047. The reversal of 1323420012 is 2100243231.

1323420012 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1323420011) 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, 3401914 + ... + 3402302.

Almost surely, 21323420012 is an apocalyptic number.

1323420012 is a gapful number since it is divisible by the number (12) 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 1323420012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843842000).

1323420012 is an abundant number, since it is smaller than the sum of its proper divisors (2364263988).

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

1323420012 is a wasteful number, since it uses less digits than its factorization.

1323420012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1323420012 is about 36378.8401684276. The cubic root of 1323420012 is about 1097.9078724697.

Adding to 1323420012 its reverse (2100243231), we get a palindrome (3423663243).

The spelling of 1323420012 in words is "one billion, three hundred twenty-three million, four hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 109 153 204 218 289 306 327 389 436 459 578 612 654 778 867 918 981 1156 1167 1308 1556 1734 1836 1853 1962 2334 2601 2943 3468 3501 3706 3924 4668 5202 5559 5886 6613 7002 7412 7803 10404 10503 11118 11772 13226 14004 15606 16677 19839 21006 22236 26452 31212 31501 33354 39678 42012 42401 50031 59517 63002 66708 79356 84802 94503 100062 112421 119034 126004 127203 169604 178551 189006 200124 224842 238068 254406 283509 337263 357102 378012 381609 449684 508812 567018 674526 714204 720817 763218 850527 1011789 1134036 1144827 1349052 1441634 1526436 1701054 2023578 2162451 2289654 2883268 3035367 3402108 4047156 4324902 4579308 6070734 6487353 8649804 12141468 12253889 12974706 19462059 24507778 25949412 36761667 38924118 49015556 73523334 77848236 110285001 147046668 220570002 330855003 441140004 661710006 1323420012