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101300444 = 2272516839
BaseRepresentation
bin1100000100110…
…11100011011100
321001121121002022
412002123203130
5201413103234
614015115312
72340016400
oct602334334
9231547068
10101300444
11521aa583
1229b12b38
1317caa6bb
14d64d100
158d5ee2e
hex609b8dc

101300444 has 18 divisors (see below), whose sum is σ = 206219160. Its totient is φ = 43414392.

The previous prime is 101300429. The next prime is 101300447. The reversal of 101300444 is 444003101.

101300444 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

101300444 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101300447) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 258224 + ... + 258615.

It is an arithmetic number, because the mean of its divisors is an integer number (11456620).

Almost surely, 2101300444 is an apocalyptic number.

101300444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101300444 is an abundant number, since it is smaller than the sum of its proper divisors (104918716).

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

101300444 is a wasteful number, since it uses less digits than its factorization.

101300444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516857 (or 516848 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 101300444 is about 10064.8121691366. The cubic root of 101300444 is about 466.1622661220.

Adding to 101300444 its reverse (444003101), we get a palindrome (545303545).

The spelling of 101300444 in words is "one hundred one million, three hundred thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 516839 1033678 2067356 3617873 7235746 14471492 25325111 50650222 101300444