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12133333102011 = 31110133911073537
BaseRepresentation
bin1011000010010000001100…
…0000100110110110111011
31120221221020211211110210220
42300210003000212312323
53042243031233231021
641445550513111123
72361414206460312
oct260440300466673
946857224743726
1012133333102011
1139587992478a0
12143b6308584a3
136a0225c96614
142dd3839dd279
151609386c4cc6
hexb0903026dbb

12133333102011 has 32 divisors (see below), whose sum is σ = 17828494626816. Its totient is φ = 7278574080000.

The previous prime is 12133333101947. The next prime is 12133333102043. The reversal of 12133333102011 is 11020133333121.

It is not a de Polignac number, because 12133333102011 - 26 = 12133333101947 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12133333100011) 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 31 ways as a sum of consecutive naturals, for example, 10765435 + ... + 11838971.

It is an arithmetic number, because the mean of its divisors is an integer number (557140457088).

Almost surely, 212133333102011 is an apocalyptic number.

12133333102011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12133333102011 is a deficient number, since it is larger than the sum of its proper divisors (5695161524805).

12133333102011 is a wasteful number, since it uses less digits than its factorization.

12133333102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077043.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 12133333102011 its reverse (11020133333121), we get a palindrome (23153466435132).

The spelling of 12133333102011 in words is "twelve trillion, one hundred thirty-three billion, three hundred thirty-three million, one hundred two thousand, eleven".

Divisors: 1 3 11 33 101 303 1111 3333 3391 10173 37301 111903 342491 1027473 1073537 3220611 3767401 11302203 11808907 35426721 108427237 325281711 1192699607 3578098821 3640363967 10921091901 40044003637 120132010911 367676760667 1103030282001 4044444367337 12133333102011