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12133331332143 = 37171493115691289
BaseRepresentation
bin1011000010010000001011…
…1001110110110000101111
31120221221020201111120000020
42300210002321312300233
53042243030310112033
641445550411133223
72361414155436330
oct260440271666057
946857221446006
1012133331332143
11395879824909a
12143b630144213
136a02257c6b68
142dd38369c287
151609384756b3
hexb0902e76c2f

12133331332143 has 128 divisors (see below), whose sum is σ = 19821335040000. Its totient is φ = 6444494192640.

The previous prime is 12133331332121. The next prime is 12133331332147. The reversal of 12133331332143 is 34123313333121.

It is a happy number.

It is not a de Polignac number, because 12133331332143 - 29 = 12133331331631 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133331332147) 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, 9412979443 + ... + 9412980731.

It is an arithmetic number, because the mean of its divisors is an integer number (154854180000).

Almost surely, 212133331332143 is an apocalyptic number.

12133331332143 is a deficient number, since it is larger than the sum of its proper divisors (7688003707857).

12133331332143 is a wasteful number, since it uses less digits than its factorization.

12133331332143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345.

The product of its digits is 34992, while the sum is 33.

Adding to 12133331332143 its reverse (34123313333121), we get a palindrome (46256644665264).

The spelling of 12133331332143 in words is "twelve trillion, one hundred thirty-three billion, three hundred thirty-one million, three hundred thirty-two thousand, one hundred forty-three".

Divisors: 1 3 7 17 21 51 119 149 311 357 447 569 933 1043 1289 1707 2177 2533 3129 3867 3983 5287 6531 7599 9023 9673 11949 15861 17731 21913 27069 29019 37009 46339 53193 65739 67711 84781 111027 139017 153391 176959 192061 203133 254343 324373 400879 460173 530877 576183 593467 733441 787763 973119 1202637 1238713 1344427 1441277 1780401 2200323 2363289 2806153 3008303 3265037 3716139 4033281 4323831 5134087 5514341 6814943 8418459 9024909 9795111 10088939 12468497 15402261 16543023 20444829 21058121 22855259 26366891 30266817 37405491 47704601 59730971 63174363 68565777 79100673 87279479 109282709 143113803 179192913 184568237 228100151 261838437 327848127 418116797 448237147 553704711 684300453 764978963 1015426507 1254350391 1344711441 1596701057 1857806053 2294936889 3046279521 3137660029 3877702567 4790103171 5573418159 7107985549 9412980087 11633107701 13004642371 21323956647 27143917969 33986922499 39013927113 81431753907 101960767497 237908457493 577777682483 713725372479 1733333047449 4044443777381 12133331332143