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11530132541325 = 345227720555569
BaseRepresentation
bin1010011111001001000101…
…1101000100111110001101
31111211021021202120002110000
42213302101131010332031
53002402202412310300
640304511511434513
72300011301345466
oct247622135047615
944737252502400
1011530132541325
1137459a1258722
12136274a085a39
13658396232328
142bc0c0665d6d
1514edd2897c00
hexa7c91744f8d

11530132541325 has 60 divisors (see below), whose sum is σ = 21434896173460. Its totient is φ = 6127203709440.

The previous prime is 11530132541321. The next prime is 11530132541357. The reversal of 11530132541325 is 52314523103511.

It is a happy number.

11530132541325 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 0 + 1 + 325 + 4 + 1 + 325 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3875409583236 + 7654722958089 = 1968606^2 + 2766717^2 .

It is not a de Polignac number, because 11530132541325 - 22 = 11530132541321 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 11530132541325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11530132541321) 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 59 ways as a sum of consecutive naturals, for example, 9716860 + ... + 10838709.

Almost surely, 211530132541325 is an apocalyptic number.

11530132541325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11530132541325 is a deficient number, since it is larger than the sum of its proper divisors (9904763632135).

11530132541325 is a wasteful number, since it uses less digits than its factorization.

11530132541325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20555868 (or 20555854 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 11530132541325 its reverse (52314523103511), we get a palindrome (63844655644836).

The spelling of 11530132541325 in words is "eleven trillion, five hundred thirty billion, one hundred thirty-two million, five hundred forty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 277 405 675 831 1385 2025 2493 4155 6925 7479 12465 20775 22437 37395 62325 112185 186975 560925 20555569 61666707 102777845 185000121 308333535 513889225 555000363 925000605 1541667675 1665001089 2775001815 4625003025 5693892613 8325005445 13875009075 17081677839 28469463065 41625027225 51245033517 85408389195 142347315325 153735100551 256225167585 427041945975 461205301653 768675502755 1281125837925 2306026508265 3843377513775 11530132541325