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123302112 = 2531677691
BaseRepresentation
bin1110101100101…
…11000011100000
322121000101200220
413112113003200
5223031131422
620122443040
73025023243
oct726270340
9277011626
10123302112
116366777a
1235363480
131c711c3b
141253925a
15ac58e5c
hex75970e0

123302112 has 48 divisors (see below), whose sum is σ = 325648512. Its totient is φ = 40849280.

The previous prime is 123302111. The next prime is 123302131. The reversal of 123302112 is 211203321.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 123302091 and 123302100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123302111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12187 + ... + 19877.

It is an arithmetic number, because the mean of its divisors is an integer number (6784344).

Almost surely, 2123302112 is an apocalyptic number.

123302112 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 123302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162824256).

123302112 is an abundant number, since it is smaller than the sum of its proper divisors (202346400).

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

123302112 is a wasteful number, since it uses less digits than its factorization.

123302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7871 (or 7863 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 123302112 is about 11104.1484139938. The cubic root of 123302112 is about 497.7258212376.

Adding to 123302112 its reverse (211203321), we get a palindrome (334505433).

The spelling of 123302112 in words is "one hundred twenty-three million, three hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 167 334 501 668 1002 1336 2004 2672 4008 5344 7691 8016 15382 16032 23073 30764 46146 61528 92292 123056 184584 246112 369168 738336 1284397 2568794 3853191 5137588 7706382 10275176 15412764 20550352 30825528 41100704 61651056 123302112