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123213104 = 2472394603
BaseRepresentation
bin1110101100000…
…01010100110000
322120211212121022
413112001110300
5223020304404
620120515012
73024202610
oct726012460
9276755538
10123213104
1163606913
123531ba68
131c6b0581
1412514a40
15ac3c8be
hex7581530

123213104 has 40 divisors (see below), whose sum is σ = 274030080. Its totient is φ = 52573248.

The previous prime is 123213091. The next prime is 123213137. The reversal of 123213104 is 401312321.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24467 + ... + 29069.

It is an arithmetic number, because the mean of its divisors is an integer number (6850752).

Almost surely, 2123213104 is an apocalyptic number.

123213104 is a gapful number since it is divisible by the number (14) 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 123213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137015040).

123213104 is an abundant number, since it is smaller than the sum of its proper divisors (150816976).

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

123213104 is a wasteful number, since it uses less digits than its factorization.

123213104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4857 (or 4851 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 123213104 is about 11100.1398189392. The cubic root of 123213104 is about 497.6060280905.

Adding to 123213104 its reverse (401312321), we get a palindrome (524525425).

The spelling of 123213104 in words is "one hundred twenty-three million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 239 478 956 1673 1912 3346 3824 4603 6692 9206 13384 18412 26768 32221 36824 64442 73648 128884 257768 515536 1100117 2200234 4400468 7700819 8800936 15401638 17601872 30803276 61606552 123213104