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1323332303130 = 232559271919613
BaseRepresentation
bin10011010000011100110…
…000000111100100011010
311200111202022012021000100
4103100130300013210122
5133140141032200010
62451532551520230
7164415256660635
oct23203460074432
94614668167010
101323332303130
11470249649942
12194579389076
1397a35c84776
144809a258c1c
15246524c52c0
hex1341cc0791a

1323332303130 has 96 divisors (see below), whose sum is σ = 3511895512320. Its totient is φ = 345626974080.

The previous prime is 1323332303123. The next prime is 1323332303147. The reversal of 1323332303130 is 313032333231.

1323332303130 is a `hidden beast` number, since 1 + 3 + 23 + 3 + 323 + 0 + 313 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1323332303094 and 1323332303103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 979204 + ... + 1898816.

It is an arithmetic number, because the mean of its divisors is an integer number (36582244920).

Almost surely, 21323332303130 is an apocalyptic number.

1323332303130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1323332303130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755947756160).

1323332303130 is an abundant number, since it is smaller than the sum of its proper divisors (2188563209190).

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

1323332303130 is a wasteful number, since it uses less digits than its factorization.

1323332303130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919956 (or 919953 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 1323332303130 its reverse (313032333231), we get a palindrome (1636364636361).

The spelling of 1323332303130 in words is "one trillion, three hundred twenty-three billion, three hundred thirty-two million, three hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 271 295 354 531 542 590 813 885 1062 1355 1626 1770 2439 2655 2710 4065 4878 5310 8130 12195 15989 24390 31978 47967 79945 95934 143901 159890 239835 287802 479670 719505 919613 1439010 1839226 2758839 4598065 5517678 8276517 9196130 13794195 16553034 27588390 41382585 54257167 82765170 108514334 162771501 249215123 271285835 325543002 488314503 498430246 542571670 747645369 813857505 976629006 1246075615 1495290738 1627715010 2242936107 2441572515 2492151230 3738226845 4485872214 4883145030 7476453690 11214680535 14703692257 22429361070 29407384514 44111076771 73518461285 88222153542 132333230313 147036922570 220555383855 264666460626 441110767710 661666151565 1323332303130