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1053313544101 = 71330746038191
BaseRepresentation
bin11110101001111100110…
…00010010111110100101
310201200210020021002002111
433110332120102332211
5114224141231402401
62123515140441021
7136046043254140
oct17247630227645
93650706232074
101053313544101
11376787043745
121501806a9171
1378433680640
1438da2c7b057
151c5ebe86e51
hexf53e612fa5

1053313544101 has 32 divisors (see below), whose sum is σ = 1301050032128. Its totient is φ = 830394452160.

The previous prime is 1053313544099. The next prime is 1053313544111. The reversal of 1053313544101 is 1014453133501.

It is not a de Polignac number, because 1053313544101 - 21 = 1053313544099 is a prime.

It is a super-2 number, since 2×10533135441012 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053313544111) 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 31 ways as a sum of consecutive naturals, for example, 128589916 + ... + 128598106.

It is an arithmetic number, because the mean of its divisors is an integer number (40657813504).

Almost surely, 21053313544101 is an apocalyptic number.

It is an amenable number.

1053313544101 is a deficient number, since it is larger than the sum of its proper divisors (247736488027).

1053313544101 is a wasteful number, since it uses less digits than its factorization.

1053313544101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13121.

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 1053313544101 its reverse (1014453133501), we get a palindrome (2067766677602).

The spelling of 1053313544101 in words is "one trillion, fifty-three billion, three hundred thirteen million, five hundred forty-four thousand, one hundred one".

Divisors: 1 7 13 91 307 2149 3991 4603 8191 27937 32221 57337 59839 106483 418873 745381 1413121 2514637 9891847 17602459 18370573 32690281 37703173 128594011 228831967 263922211 490141249 3430988743 11574874111 81024118777 150473363443 1053313544101