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12131771025733 = 1731899717914897
BaseRepresentation
bin1011000010001010010111…
…1001110000100101000101
31120221210012222111202222221
42300202211321300211011
53042231331340310413
641445131512252341
72361330411160132
oct260424571604505
946853188452887
1012131771025733
113958067518867
12143b2756a10b1
136a003747b328
142dd27637b589
151608964b768d
hexb08a5e70945

12131771025733 has 64 divisors (see below), whose sum is σ = 13623589324800. Its totient is φ = 10751889899520.

The previous prime is 12131771025727. The next prime is 12131771025757. The reversal of 12131771025733 is 33752017713121.

It is a de Polignac number, because none of the positive numbers 2k-12131771025733 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12131771025733.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131771028733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 814369341 + ... + 814384237.

It is an arithmetic number, because the mean of its divisors is an integer number (212868583200).

Almost surely, 212131771025733 is an apocalyptic number.

It is an amenable number.

12131771025733 is a deficient number, since it is larger than the sum of its proper divisors (1491818299067).

12131771025733 is a wasteful number, since it uses less digits than its factorization.

12131771025733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15310.

The product of its (nonzero) digits is 185220, while the sum is 43.

Adding to 12131771025733 its reverse (33752017713121), we get a palindrome (45883788738854).

The spelling of 12131771025733 in words is "twelve trillion, one hundred thirty-one billion, seven hundred seventy-one million, twenty-five thousand, seven hundred thirty-three".

Divisors: 1 17 31 89 97 179 527 1513 1649 2759 3007 3043 5549 8633 14897 15931 17363 46903 51119 94333 146761 253249 267623 270827 295171 461807 493861 538253 1325833 1445009 1545307 2666563 4549591 7850719 8395637 9150301 22539161 24565153 26270219 41100823 44795279 45331571 47904517 82663453 128605801 237324107 258656611 698713991 761519743 814376789 1405278701 2186298617 3986779831 4034509819 4397162387 7357047317 8018354941 23020438379 67775257127 125069804389 136312033997 391347452443 713633589749 12131771025733