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101303216 = 2475091777
BaseRepresentation
bin1100000100111…
…00001110110000
321001121201212222
412002130032300
5201413200331
614015140212
72340030440
oct602341660
9231551788
10101303216
1152201673
1229b14668
1317caba41
14d650120
158d60b7b
hex609c3b0

101303216 has 40 divisors (see below), whose sum is σ = 224881440. Its totient is φ = 43305984.

The previous prime is 101303203. The next prime is 101303273. The reversal of 101303216 is 612303101.

It is a junction number, because it is equal to n+sod(n) for n = 101303194 and 101303203.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 56120 + ... + 57896.

It is an arithmetic number, because the mean of its divisors is an integer number (5622036).

Almost surely, 2101303216 is an apocalyptic number.

101303216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101303216 is an abundant number, since it is smaller than the sum of its proper divisors (123578224).

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

101303216 is a wasteful number, since it uses less digits than its factorization.

101303216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 101303216 is about 10064.9498756824. The cubic root of 101303216 is about 466.1665181271.

Adding to 101303216 its reverse (612303101), we get a palindrome (713606317).

The spelling of 101303216 in words is "one hundred one million, three hundred three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 509 1018 1777 2036 3554 3563 4072 7108 7126 8144 12439 14216 14252 24878 28432 28504 49756 57008 99512 199024 904493 1808986 3617972 6331451 7235944 12662902 14471888 25325804 50651608 101303216