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121143201135 = 3511171011093923
BaseRepresentation
bin111000011010010110…
…0101000110101101111
3102120200200022020122020
41300310230220311233
53441100124414020
6131352531121223
711516020135215
oct1606454506557
9376620266566
10121143201135
11474161a7050
121b58a743213
13b567cb2948
145c130cccb5
153240521c40
hex1c34b28d6f

121143201135 has 128 divisors (see below), whose sum is σ = 228237419520. Its totient is φ = 54217728000.

The previous prime is 121143201097. The next prime is 121143201139. The reversal of 121143201135 is 531102341121.

It is not a de Polignac number, because 121143201135 - 27 = 121143201007 is a prime.

It is a super-3 number, since 3×1211432011353 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121143201139) 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, 30878284 + ... + 30882206.

It is an arithmetic number, because the mean of its divisors is an integer number (1783104840).

Almost surely, 2121143201135 is an apocalyptic number.

121143201135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

121143201135 is a deficient number, since it is larger than the sum of its proper divisors (107094218385).

121143201135 is a wasteful number, since it uses less digits than its factorization.

121143201135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4169.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 121143201135 its reverse (531102341121), we get a palindrome (652245542256).

The spelling of 121143201135 in words is "one hundred twenty-one billion, one hundred forty-three million, two hundred one thousand, one hundred thirty-five".

Divisors: 1 3 5 11 15 17 33 51 55 85 101 109 165 187 255 303 327 505 545 561 935 1111 1199 1515 1635 1717 1853 2805 3333 3597 3923 5151 5555 5559 5995 8585 9265 11009 11769 16665 17985 18887 19615 20383 25755 27795 33027 43153 55045 56661 58845 61149 66691 94435 101915 121099 129459 165135 187153 200073 215765 283305 305745 333455 363297 396223 427607 561459 605495 647295 733601 935765 1000365 1188669 1282821 1816485 1981115 2058683 2138035 2200803 2807295 3668005 4358453 4703677 5943345 6176049 6414105 6735791 7269319 10293415 11004015 13075359 14111031 20207373 21792265 21807957 23518385 30880245 33678955 36346595 43188307 65376795 70555155 74093701 79962509 101036865 109039785 129564921 215941535 222281103 239887527 370468505 399812545 475071377 647824605 734201219 1111405515 1199437635 1425214131 2202603657 2375356885 3671006095 7126070655 8076213409 11013018285 24228640227 40381067045 121143201135