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12023133003 = 327791072211
BaseRepresentation
bin10110011001010001…
…00111001101001011
31011000220122102212100
423030220213031023
5144110410224003
65305013244443
7603641641620
oct131450471513
934026572770
1012023133003
11510a821862
1223b6633723
131197ba3cab
14820b20347
154a57deba3
hex2cca2734b

12023133003 has 72 divisors (see below), whose sum is σ = 20384698880. Its totient is φ = 6688150560.

The previous prime is 12023132981. The next prime is 12023133011. The reversal of 12023133003 is 30033132021.

12023133003 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 12023133003 - 210 = 12023131979 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12023133803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56981568 + ... + 56981778.

Almost surely, 212023133003 is an apocalyptic number.

12023133003 is a deficient number, since it is larger than the sum of its proper divisors (8361565877).

12023133003 is a wasteful number, since it uses less digits than its factorization.

12023133003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12023133003 its reverse (30033132021), we get a palindrome (42056265024).

The spelling of 12023133003 in words is "twelve billion, twenty-three million, one hundred thirty-three thousand, three".

Divisors: 1 3 7 9 21 63 79 107 211 237 321 553 633 711 749 963 1477 1659 1899 2247 4431 4977 6741 8453 11449 13293 16669 22577 25359 34347 50007 59171 67731 76077 80143 103041 116683 150021 158039 177513 203193 240429 350049 474117 532539 721287 904471 1050147 1422351 1783583 2415739 2713413 5350749 6331297 7247217 8140239 12485081 16052247 16910173 18993891 21741651 37455243 50730519 56981673 112365729 152191557 190843381 572530143 1335903667 1717590429 4007711001 12023133003