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105142665241 = 194113541657
BaseRepresentation
bin110000111101011111…
…1011100000000011001
3101001101120110210201201
41201322333130000121
53210313010241431
6120145112114201
710411350623425
oct1417277340031
9331346423651
10105142665241
1140655325669
1218464095961
139bb809c823
14513605bb85
152b05972461
hex187afdc019

105142665241 has 4 divisors (see below), whose sum is σ = 105143401012. Its totient is φ = 105141929472.

The previous prime is 105142665181. The next prime is 105142665247. The reversal of 105142665241 is 142566241501.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 35533758016 + 69608907225 = 188504^2 + 263835^2 .

It is a cyclic number.

It is not a de Polignac number, because 105142665241 - 213 = 105142657049 is a prime.

It is a super-2 number, since 2×1051426652412 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105142665241.

It is not an unprimeable number, because it can be changed into a prime (105142665247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 76716 + ... + 464941.

It is an arithmetic number, because the mean of its divisors is an integer number (26285850253).

Almost surely, 2105142665241 is an apocalyptic number.

It is an amenable number.

105142665241 is a deficient number, since it is larger than the sum of its proper divisors (735771).

105142665241 is an equidigital number, since it uses as much as digits as its factorization.

105142665241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735770.

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 105142665241 in words is "one hundred five billion, one hundred forty-two million, six hundred sixty-five thousand, two hundred forty-one".

Divisors: 1 194113 541657 105142665241