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104031300 = 223522315077
BaseRepresentation
bin1100011001101…
…10010001000100
321020202100010010
412030312101010
5203113000200
614153430220
72402152152
oct614662104
9236670103
10104031300
11537a528a
122aa0b370
13187256a9
14db603d2
1591ee150
hex6336444

104031300 has 72 divisors (see below), whose sum is σ = 314104896. Its totient is φ = 26533760.

The previous prime is 104031293. The next prime is 104031307. The reversal of 104031300 is 3130401.

It is an interprime number because it is at equal distance from previous prime (104031293) and next prime (104031307).

It is a super-2 number, since 2×1040313002 = 21645022759380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (104031307) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 639 + ... + 14438.

It is an arithmetic number, because the mean of its divisors is an integer number (4362568).

Almost surely, 2104031300 is an apocalyptic number.

104031300 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 104031300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157052448).

104031300 is an abundant number, since it is smaller than the sum of its proper divisors (210073596).

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

104031300 is a wasteful number, since it uses less digits than its factorization.

104031300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15117 (or 15110 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 104031300 is about 10199.5735204958. The cubic root of 104031300 is about 470.3141102324.

Adding to 104031300 its reverse (3130401), we get a palindrome (107161701).

The spelling of 104031300 in words is "one hundred four million, thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 15077 30154 45231 60308 75385 90462 150770 180924 226155 301540 346771 376925 452310 693542 753850 904620 1040313 1130775 1387084 1507700 1733855 2080626 2261550 3467710 4161252 4523100 5201565 6935420 8669275 10403130 17338550 20806260 26007825 34677100 52015650 104031300