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11443101242013 = 3374113923894447
BaseRepresentation
bin1010011010000100110111…
…1111000001001010011101
31111111221122101211000002000
42212201031333001022131
52444440432404221023
640200515500552513
72260510500455130
oct246411577011235
944457571730060
1011443101242013
113711aa036a381
1213498bb552739
1365010648609c
142b7bc5b44217
1514c9dbe7b243
hexa684dfc129d

11443101242013 has 128 divisors (see below), whose sum is σ = 20002762752000. Its totient is φ = 6329459335680.

The previous prime is 11443101241993. The next prime is 11443101242063. The reversal of 11443101242013 is 31024210134411.

It is a happy number.

11443101242013 is a `hidden beast` number, since 1 + 1 + 4 + 431 + 0 + 1 + 24 + 201 + 3 = 666.

11443101242013 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 11443101242013 - 29 = 11443101241501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11443101242063) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2573215956 + ... + 2573220402.

It is an arithmetic number, because the mean of its divisors is an integer number (156271584000).

Almost surely, 211443101242013 is an apocalyptic number.

It is an amenable number.

11443101242013 is a deficient number, since it is larger than the sum of its proper divisors (8559661509987).

11443101242013 is a wasteful number, since it uses less digits than its factorization.

11443101242013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7032 (or 7026 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11443101242013 its reverse (31024210134411), we get a palindrome (42467311376424).

The spelling of 11443101242013 in words is "eleven trillion, four hundred forty-three billion, one hundred one million, two hundred forty-two thousand, thirteen".

Divisors: 1 3 7 9 21 27 41 63 123 139 189 287 369 417 861 973 1107 1251 2389 2583 2919 3753 4447 5699 7167 7749 8757 13341 16723 17097 21501 26271 31129 39893 40023 50169 51291 64503 93387 97949 119679 120069 150507 153873 182327 280161 293847 332071 359037 451521 546981 618133 685643 840483 881541 996213 1077111 1276289 1640943 1854399 2056929 2324497 2644623 2988639 3828867 4326931 4922829 5563197 6170787 6973491 8965917 10623883 11486601 12980793 13614911 16689591 18512361 20920473 25343453 31871649 34459803 38942379 40844733 62761419 74367181 76030359 95304377 95614947 116827137 122534199 177404171 223101543 228091077 285913131 286844841 367602597 435579203 532212513 669304629 684273231 857739393 1306737609 1476719737 1596637539 2007913887 2573218179 3049054421 3920212827 4430159211 4789912617 9147163263 10337038159 11760638481 13290477633 27441489789 31011114477 39871432899 60545509217 82324469367 93033343431 181636527651 279100030293 423818564519 544909582953 1271455693557 1634728748859 3814367080671 11443101242013