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11241322131 = 3132171304249
BaseRepresentation
bin10100111100000100…
…01111011010010011
31002000102112022222010
422132002033122103
5141010234302011
65055244314003
7545366442624
oct123602173223
932012468863
1011241322131
114849484776
122218842903
1310a1c1c200
14788d6ba4b
1545bd5c1a6
hex29e08f693

11241322131 has 24 divisors (see below), whose sum is σ = 17184798000. Its totient is φ = 6510806016.

The previous prime is 11241322087. The next prime is 11241322133. The reversal of 11241322131 is 13122314211.

11241322131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11241322131 - 215 = 11241289363 is a prime.

It is a super-2 number, since 2×112413221312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11241322098 and 11241322107.

It is not an unprimeable number, because it can be changed into a prime (11241322133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 643506 + ... + 660743.

It is an arithmetic number, because the mean of its divisors is an integer number (716033250).

Almost surely, 211241322131 is an apocalyptic number.

11241322131 is a deficient number, since it is larger than the sum of its proper divisors (5943475869).

11241322131 is a wasteful number, since it uses less digits than its factorization.

11241322131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304295 (or 1304282 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 11241322131 its reverse (13122314211), we get a palindrome (24363636342).

The spelling of 11241322131 in words is "eleven billion, two hundred forty-one million, three hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 3 13 17 39 51 169 221 507 663 2873 8619 1304249 3912747 16955237 22172233 50865711 66516699 220418081 288239029 661254243 864717087 3747107377 11241322131