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101230305 = 35111993083
BaseRepresentation
bin1100000100010…
…10011011100001
321001111000212120
412002022123201
5201403332210
614013414453
72336305041
oct602123341
9231430776
10101230305
1152161910
1229a9a429
1317c847b7
14d631721
158d49270
hex608a6e1

101230305 has 32 divisors (see below), whose sum is σ = 177638400. Its totient is φ = 48818880.

The previous prime is 101230301. The next prime is 101230307. The reversal of 101230305 is 503032101.

It is a happy number.

It is not a de Polignac number, because 101230305 - 22 = 101230301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (101230301) 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 31 ways as a sum of consecutive naturals, for example, 31294 + ... + 34376.

It is an arithmetic number, because the mean of its divisors is an integer number (5551200).

Almost surely, 2101230305 is an apocalyptic number.

101230305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101230305 is a deficient number, since it is larger than the sum of its proper divisors (76408095).

101230305 is a wasteful number, since it uses less digits than its factorization.

101230305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 101230305 is about 10061.3271987348. The cubic root of 101230305 is about 466.0546532202.

Adding to 101230305 its reverse (503032101), we get a palindrome (604262406).

The spelling of 101230305 in words is "one hundred one million, two hundred thirty thousand, three hundred five".

Divisors: 1 3 5 11 15 33 55 165 199 597 995 2189 2985 3083 6567 9249 10945 15415 32835 33913 46245 101739 169565 508695 613517 1840551 3067585 6748687 9202755 20246061 33743435 101230305