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11324131002041 = 11213106911176029
BaseRepresentation
bin1010010011001001101011…
…0011100100011010111001
31111002120120011022121202212
42210302122303210122321
52441013310014031131
640030122311504505
72246066344222424
oct244623263443271
944076504277685
1011324131002041
11367659a805200
12132a838688135
13641b267288a0
142b213b4949bb
151498775d4a2b
hexa4c9ace46b9

11324131002041 has 48 divisors (see below), whose sum is σ = 13431439803600. Its totient is φ = 9483805140480.

The previous prime is 11324131002029. The next prime is 11324131002073. The reversal of 11324131002041 is 14020013142311.

11324131002041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 612282775225 + 10711848226816 = 782485^2 + 3272896^2 .

It is a de Polignac number, because none of the positive numbers 2k-11324131002041 is a prime.

It is a super-2 number, since 2×113241310020412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11324131001998 and 11324131002016.

It is not an unprimeable number, because it can be changed into a prime (11324131005041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1878273815 + ... + 1878279843.

It is an arithmetic number, because the mean of its divisors is an integer number (279821662575).

Almost surely, 211324131002041 is an apocalyptic number.

11324131002041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11324131002041 is a deficient number, since it is larger than the sum of its proper divisors (2107308801559).

11324131002041 is a wasteful number, since it uses less digits than its factorization.

11324131002041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8250 (or 8239 counting only the distinct ones).

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

Adding to 11324131002041 its reverse (14020013142311), we get a palindrome (25344144144352).

The spelling of 11324131002041 in words is "eleven trillion, three hundred twenty-four billion, one hundred thirty-one million, two thousand, forty-one".

Divisors: 1 11 13 121 143 1069 1117 1573 6029 11759 12287 13897 14521 66319 78377 129349 135157 152867 159731 729509 862147 1194073 1681537 1757041 6445001 6734393 9483617 13134803 15522949 70895011 74078323 83785013 87547109 144482833 170752439 779845121 814861553 921635143 963018199 1878276829 7199066117 10137986573 10593200189 79189727287 93587859521 871087000157 1029466454731 11324131002041