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103601216416 = 253237538013
BaseRepresentation
bin110000001111100011…
…1010001101110100000
3100220102010222002110111
41200133013101232200
53144133402411131
6115332125341104
710325222544505
oct1403707215640
9326363862414
10103601216416
113aa34205315
12180b3a07794
139a00927429
14502b4494ac
152a6548bab1
hex181f1d1ba0

103601216416 has 12 divisors (see below), whose sum is σ = 203964894882. Its totient is φ = 51800608192.

The previous prime is 103601216393. The next prime is 103601216423. The reversal of 103601216416 is 614612106301.

It can be written as a sum of positive squares in only one way, i.e., 83324595600 + 20276620816 = 288660^2 + 142396^2 .

It is a super-3 number, since 3×1036012164163 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 1618768975 + ... + 1618769038.

Almost surely, 2103601216416 is an apocalyptic number.

103601216416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103601216416 is a deficient number, since it is larger than the sum of its proper divisors (100363678466).

103601216416 is an equidigital number, since it uses as much as digits as its factorization.

103601216416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237538023 (or 3237538015 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 103601216416 in words is "one hundred three billion, six hundred one million, two hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 3237538013 6475076026 12950152052 25900304104 51800608208 103601216416