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103513616 = 2423833389
BaseRepresentation
bin1100010101101…
…11111000010000
321012210000222122
412022313320100
5202444413431
614134353412
72364564653
oct612677020
9235700878
10103513616
1153481348
122a7bb868
13185a3b7b
14da6789a
15914aa7b
hex62b7e10

103513616 has 40 divisors (see below), whose sum is σ = 211861440. Its totient is φ = 48895616.

The previous prime is 103513609. The next prime is 103513633. The reversal of 103513616 is 616315301.

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 7 ways as a sum of consecutive naturals, for example, 28850 + ... + 32238.

It is an arithmetic number, because the mean of its divisors is an integer number (5296536).

Almost surely, 2103513616 is an apocalyptic number.

103513616 is a gapful number since it is divisible by the number (16) 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 103513616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105930720).

103513616 is an abundant number, since it is smaller than the sum of its proper divisors (108347824).

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

103513616 is a wasteful number, since it uses less digits than its factorization.

103513616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3503 (or 3497 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 103513616 is about 10174.1641425721. The cubic root of 103513616 is about 469.5326817222.

Adding to 103513616 its reverse (616315301), we get a palindrome (719828917).

The spelling of 103513616 in words is "one hundred three million, five hundred thirteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 23 46 83 92 166 184 332 368 664 1328 1909 3389 3818 6778 7636 13556 15272 27112 30544 54224 77947 155894 281287 311788 562574 623576 1125148 1247152 2250296 4500592 6469601 12939202 25878404 51756808 103513616