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1042131201341 = 17577261740597
BaseRepresentation
bin11110010101000111101…
…11000010110100111101
310200121220220201012121112
433022203313002310331
5114033241041420331
62114425400211405
7135201661024556
oct17124367026475
93617826635545
101042131201341
11371a6899305a
12149b7b769b65
1377370a41989
1438621aa332d
151c1953ca32b
hexf2a3dc2d3d

1042131201341 has 16 divisors (see below), whose sum is σ = 1105795007856. Its totient is φ = 978731237376.

The previous prime is 1042131201317. The next prime is 1042131201361. The reversal of 1042131201341 is 1431021312401.

It can be written as a sum of positive squares in 8 ways, for example, as 857514892441 + 184616308900 = 926021^2 + 429670^2 .

It is not a de Polignac number, because 1042131201341 - 218 = 1042130939197 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042131201361) 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, 25649855 + ... + 25690451.

It is an arithmetic number, because the mean of its divisors is an integer number (69112187991).

Almost surely, 21042131201341 is an apocalyptic number.

It is an amenable number.

1042131201341 is a deficient number, since it is larger than the sum of its proper divisors (63663806515).

1042131201341 is a wasteful number, since it uses less digits than its factorization.

1042131201341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43808.

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 1042131201341 its reverse (1431021312401), we get a palindrome (2473152513742).

The spelling of 1042131201341 in words is "one trillion, forty-two billion, one hundred thirty-one million, two hundred one thousand, three hundred forty-one".

Divisors: 1 17 577 2617 9809 40597 44489 690149 1510009 23424469 25670153 106242349 398215973 1806119933 61301835373 1042131201341