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1323120132 = 22321712771693
BaseRepresentation
bin100111011011101…
…0011011000000100
310102012200110121100
41032313103120010
510202204321012
6335143020100
744534223045
oct11667233004
93365613540
101323120132
11619959814
1230b13a630
13181171629
14c7a1c8cc
157b25a8dc
hex4edd3604

1323120132 has 72 divisors (see below), whose sum is σ = 3546158616. Its totient is φ = 414526464.

The previous prime is 1323120067. The next prime is 1323120133. The reversal of 1323120132 is 2310213231.

It can be written as a sum of positive squares in 4 ways, for example, as 373494276 + 949625856 = 19326^2 + 30816^2 .

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 (1323120133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 780678 + ... + 782370.

It is an arithmetic number, because the mean of its divisors is an integer number (49252203).

Almost surely, 21323120132 is an apocalyptic number.

1323120132 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 1323120132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773079308).

1323120132 is an abundant number, since it is smaller than the sum of its proper divisors (2223038484).

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

1323120132 is a wasteful number, since it uses less digits than its factorization.

1323120132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1323120132 is about 36374.7183081876. The cubic root of 1323120132 is about 1097.8249394928.

Adding to 1323120132 its reverse (2310213231), we get a palindrome (3633333363).

The spelling of 1323120132 in words is "one billion, three hundred twenty-three million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1277 1693 2554 3386 3831 5079 5108 6772 7662 10158 11493 15237 15324 20316 21709 22986 28781 30474 43418 45972 57562 60948 65127 86343 86836 115124 130254 172686 195381 259029 260508 345372 390762 518058 781524 1036116 2161961 4323922 6485883 8647844 12971766 19457649 25943532 36753337 38915298 73506674 77830596 110260011 147013348 220520022 330780033 441040044 661560066 1323120132