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10105320344 = 237593058511
BaseRepresentation
bin10010110100101001…
…01111001110011000
3222002020221110110212
421122110233032120
5131143430222334
64350424030252
7505263543230
oct113224571630
928066843425
1010105320344
11431620a819
121b60302388
13c507747c2
146bc13acc0
153e2263ece
hex25a52f398

10105320344 has 32 divisors (see below), whose sum is σ = 22021286400. Its totient is φ = 4257445920.

The previous prime is 10105320343. The next prime is 10105320347. The reversal of 10105320344 is 44302350101.

10105320344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105320341) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 1525952 + ... + 1532559.

It is an arithmetic number, because the mean of its divisors is an integer number (688165200).

Almost surely, 210105320344 is an apocalyptic number.

10105320344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10105320344 is an abundant number, since it is smaller than the sum of its proper divisors (11915966056).

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

10105320344 is a wasteful number, since it uses less digits than its factorization.

10105320344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3058583 (or 3058579 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 10105320344 its reverse (44302350101), we get a palindrome (54407670445).

The spelling of 10105320344 in words is "ten billion, one hundred five million, three hundred twenty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 59 118 236 413 472 826 1652 3304 3058511 6117022 12234044 21409577 24468088 42819154 85638308 171276616 180452149 360904298 721808596 1263165043 1443617192 2526330086 5052660172 10105320344