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10123442141 = 4313916310391
BaseRepresentation
bin10010110110110011…
…10111011111011101
3222010112001010220112
421123121313133131
5131213100122031
64352312255405
7505603560401
oct113331673735
928115033815
1010123442141
114325467a0a
121b663a1565
13c5444b067
146c06d7101
153e3b4362b
hex25b6777dd

10123442141 has 16 divisors (see below), whose sum is σ = 10498414080. Its totient is φ = 9755711280.

The previous prime is 10123442129. The next prime is 10123442167. The reversal of 10123442141 is 14124432101.

10123442141 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10123442141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123442191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 969056 + ... + 979446.

It is an arithmetic number, because the mean of its divisors is an integer number (656150880).

Almost surely, 210123442141 is an apocalyptic number.

It is an amenable number.

10123442141 is a deficient number, since it is larger than the sum of its proper divisors (374971939).

10123442141 is a wasteful number, since it uses less digits than its factorization.

10123442141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10736.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 10123442141 its reverse (14124432101), we get a palindrome (24247874242).

The spelling of 10123442141 in words is "ten billion, one hundred twenty-three million, four hundred forty-two thousand, one hundred forty-one".

Divisors: 1 43 139 163 5977 7009 10391 22657 446813 974251 1444349 1693733 62107007 72830519 235428887 10123442141