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1323101328 = 243193153883
BaseRepresentation
bin100111011011100…
…1110110010010000
310102012122111210220
41032313032302100
510202203220303
6335142353040
744534114163
oct11667166220
93365574726
101323101328
1161994667a
1230b12b780
13181165bc3
14c7a15ada
157b255053
hex4edcec90

1323101328 has 160 divisors (see below), whose sum is σ = 3788328960. Its totient is φ = 396264960.

The previous prime is 1323101317. The next prime is 1323101333. The reversal of 1323101328 is 8231013231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1323101298 and 1323101307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1497975 + ... + 1498857.

It is an arithmetic number, because the mean of its divisors is an integer number (23677056).

Almost surely, 21323101328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323101328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894164480).

1323101328 is an abundant number, since it is smaller than the sum of its proper divisors (2465227632).

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

1323101328 is a wasteful number, since it uses less digits than its factorization.

1323101328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1323101328 is about 36374.4598310408. The cubic root of 1323101328 is about 1097.8197387562.

Adding to 1323101328 its reverse (8231013231), we get a palindrome (9554114559).

The spelling of 1323101328 in words is "one billion, three hundred twenty-three million, one hundred one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 53 57 62 76 93 106 114 124 152 159 186 212 228 248 304 318 372 424 456 496 589 636 744 848 883 912 1007 1178 1272 1488 1643 1766 1767 2014 2356 2544 2649 3021 3286 3532 3534 4028 4712 4929 5298 6042 6572 7064 7068 8056 9424 9858 10596 12084 13144 14128 14136 16112 16777 19716 21192 24168 26288 27373 28272 31217 33554 39432 42384 46799 48336 50331 54746 62434 67108 78864 82119 93598 93651 100662 109492 124868 134216 140397 164238 187196 187302 201324 218984 249736 268432 280794 328476 374392 374604 402648 437968 499472 520087 561588 656952 748784 749208 805296 889181 1040174 1123176 1313904 1450769 1498416 1560261 1778362 2080348 2246352 2667543 2901538 3120522 3556724 4160696 4352307 5335086 5803076 6241044 7113448 8321392 8704614 10670172 11606152 12482088 14226896 17409228 21340344 23212304 24964176 27564611 34818456 42680688 55129222 69636912 82693833 110258444 165387666 220516888 330775332 441033776 661550664 1323101328