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104315310 = 233511231103
BaseRepresentation
bin1100011011110…
…11100110101110
321021021202201000
412031323212232
5203201042220
614203501130
72404444161
oct615734656
9237252630
10104315310
1153979700
122ab277a6
13187c4a48
14dbd5ad8
159258390
hex637b9ae

104315310 has 192 divisors, whose sum is σ = 318689280. Its totient is φ = 24235200.

The previous prime is 104315297. The next prime is 104315311. The reversal of 104315310 is 13513401.

104315310 is a `hidden beast` number, since 104 + 31 + 531 + 0 = 666.

It is a super-2 number, since 2×1043153102 = 21763367800792200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104315311) 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 95 ways as a sum of consecutive naturals, for example, 1012719 + ... + 1012821.

It is an arithmetic number, because the mean of its divisors is an integer number (1659840).

Almost surely, 2104315310 is an apocalyptic number.

104315310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104315310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159344640).

104315310 is an abundant number, since it is smaller than the sum of its proper divisors (214373970).

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

104315310 is a wasteful number, since it uses less digits than its factorization.

104315310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 104315310 is about 10213.4866720430. The cubic root of 104315310 is about 470.7417140410.

Adding to 104315310 its reverse (13513401), we get a palindrome (117828711).

The spelling of 104315310 in words is "one hundred four million, three hundred fifteen thousand, three hundred ten".