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123321320 = 23571173251
BaseRepresentation
bin1110101100110…
…11101111101000
322121001101001022
413112123233220
5223032240240
620123112012
73025133243
oct726335750
9277041038
10123321320
1163680151
1235372608
131c71a8c5
141254225a
15ac5e9b5
hex759bbe8

123321320 has 64 divisors (see below), whose sum is σ = 284135040. Its totient is φ = 48160000.

The previous prime is 123321313. The next prime is 123321329. The reversal of 123321320 is 23123321.

It is not an unprimeable number, because it can be changed into a prime (123321329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 491195 + ... + 491445.

It is an arithmetic number, because the mean of its divisors is an integer number (4439610).

Almost surely, 2123321320 is an apocalyptic number.

123321320 is a gapful number since it is divisible by the number (10) 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 123321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142067520).

123321320 is an abundant number, since it is smaller than the sum of its proper divisors (160813720).

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

123321320 is a wasteful number, since it uses less digits than its factorization.

123321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 123321320 is about 11105.0132822973. The cubic root of 123321320 is about 497.7516651345.

Adding to 123321320 its reverse (23123321), we get a palindrome (146444641).

The spelling of 123321320 in words is "one hundred twenty-three million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 71 142 173 251 284 346 355 502 568 692 710 865 1004 1255 1384 1420 1730 2008 2510 2840 3460 5020 6920 10040 12283 17821 24566 35642 43423 49132 61415 71284 86846 89105 98264 122830 142568 173692 178210 217115 245660 347384 356420 434230 491320 712840 868460 1736920 3083033 6166066 12332132 15415165 24664264 30830330 61660660 123321320