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123300112 = 24132920441
BaseRepresentation
bin1110101100101…
…10100100010000
322121000021221211
413112112210100
5223031100422
620122425504
73025014355
oct726264420
9277007854
10123300112
1163666221
1235362294
131c711060
141253862c
15ac58577
hex7596910

123300112 has 40 divisors (see below), whose sum is σ = 266154840. Its totient is φ = 54942720.

The previous prime is 123300071. The next prime is 123300131. The reversal of 123300112 is 211003321.

It can be written as a sum of positive squares in 4 ways, for example, as 18524416 + 104775696 = 4304^2 + 10236^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 123300092 and 123300101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4189 + ... + 16252.

It is an arithmetic number, because the mean of its divisors is an integer number (6653871).

Almost surely, 2123300112 is an apocalyptic number.

It is an amenable number.

123300112 is an abundant number, since it is smaller than the sum of its proper divisors (142854728).

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

123300112 is a wasteful number, since it uses less digits than its factorization.

123300112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20491 (or 20485 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 123300112 is about 11104.0583571954. The cubic root of 123300112 is about 497.7231301320.

Adding to 123300112 its reverse (211003321), we get a palindrome (334303433).

The spelling of 123300112 in words is "one hundred twenty-three million, three hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 52 58 104 116 208 232 377 464 754 1508 3016 6032 20441 40882 81764 163528 265733 327056 531466 592789 1062932 1185578 2125864 2371156 4251728 4742312 7706257 9484624 15412514 30825028 61650056 123300112