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103001300 = 22521760589
BaseRepresentation
bin1100010001110…
…10110011010100
321011211000012222
412020322303110
5202332020200
614115401512
72360332223
oct610726324
9234730188
10103001300
1153161446
122a5b3298
131845491c
14d972cba
159098d85
hex623acd4

103001300 has 36 divisors (see below), whose sum is σ = 236664540. Its totient is φ = 38776320.

The previous prime is 103001287. The next prime is 103001329. The reversal of 103001300 is 3100301.

It can be written as a sum of positive squares in 6 ways, for example, as 4674244 + 98327056 = 2162^2 + 9916^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28595 + ... + 31994.

It is an arithmetic number, because the mean of its divisors is an integer number (6574015).

Almost surely, 2103001300 is an apocalyptic number.

103001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103001300 is an abundant number, since it is smaller than the sum of its proper divisors (133663240).

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

103001300 is a wasteful number, since it uses less digits than its factorization.

103001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60620 (or 60613 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 103001300 is about 10148.9556112932. The cubic root of 103001300 is about 468.7567868647.

Adding to 103001300 its reverse (3100301), we get a palindrome (106101601).

Subtracting from 103001300 its reverse (3100301), we obtain a palindrome (99900999).

It can be divided in two parts, 103001 and 300, that added together give a palindrome (103301).

The spelling of 103001300 in words is "one hundred three million, one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 60589 121178 242356 302945 605890 1030013 1211780 1514725 2060026 3029450 4120052 5150065 6058900 10300130 20600260 25750325 51500650 103001300