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12131011233 = 32112331891931
BaseRepresentation
bin10110100110001000…
…01000101010100001
31011022102122012222100
423103010020222201
5144321014324413
65323425401013
7606421615455
oct132304105241
934272565870
1012131011233
115165704320
122426799169
1311b4345673
148311a2665
154aeeeda73
hex2d3108aa1

12131011233 has 96 divisors (see below), whose sum is σ = 20832215040. Its totient is φ = 6725664000.

The previous prime is 12131011231. The next prime is 12131011241. The reversal of 12131011233 is 33211013121.

12131011233 is a `hidden beast` number, since 121 + 310 + 1 + 1 + 233 = 666.

It is not a de Polignac number, because 12131011233 - 21 = 12131011231 is a prime.

It is a super-2 number, since 2×121310112332 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12131011231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6281278 + ... + 6283208.

It is an arithmetic number, because the mean of its divisors is an integer number (217002240).

Almost surely, 212131011233 is an apocalyptic number.

It is an amenable number.

12131011233 is a deficient number, since it is larger than the sum of its proper divisors (8701203807).

12131011233 is a wasteful number, since it uses less digits than its factorization.

12131011233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12131011233 its reverse (33211013121), we get a palindrome (45342024354).

The spelling of 12131011233 in words is "twelve billion, one hundred thirty-one million, eleven thousand, two hundred thirty-three".

Divisors: 1 3 9 11 23 31 33 69 89 93 99 207 253 267 279 341 713 759 801 979 1023 1931 2047 2139 2277 2759 2937 3069 5793 6141 6417 7843 8277 8811 17379 18423 21241 22517 23529 24831 30349 44413 59861 63457 63723 67551 70587 91047 133239 171859 179583 190371 191169 202653 273141 399717 488543 515577 538749 571113 658471 698027 1376803 1465629 1546731 1890449 1975413 2094081 3952757 4130409 4396887 5327629 5671347 5926239 6282243 11858271 12391227 15144833 15982887 17014041 35574813 43480327 45434499 47948661 58603919 122535467 130440981 136303497 175811757 367606401 391322943 527435271 1102819203 1347890137 4043670411 12131011233