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12021233103 = 321117311032237
BaseRepresentation
bin10110011001000010…
…10111010111001111
31011000210001220200200
423030201113113033
5144104413424403
65304504424543
7603616536555
oct131441272717
934023056620
1012021233103
1151097443a0
1223b5a78153
13119768a2a9
14820787bd5
154a5566ca3
hex2cc8575cf

12021233103 has 96 divisors (see below), whose sum is σ = 20914163712. Its totient is φ = 6568473600.

The previous prime is 12021233093. The next prime is 12021233143. The reversal of 12021233103 is 30133212021.

12021233103 is a `hidden beast` number, since 120 + 212 + 331 + 0 + 3 = 666.

It is not a de Polignac number, because 12021233103 - 25 = 12021233071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021233143) 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 95 ways as a sum of consecutive naturals, for example, 5372701 + ... + 5374937.

It is an arithmetic number, because the mean of its divisors is an integer number (217855872).

Almost surely, 212021233103 is an apocalyptic number.

12021233103 is a deficient number, since it is larger than the sum of its proper divisors (8892930609).

12021233103 is a wasteful number, since it uses less digits than its factorization.

12021233103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12021233103 its reverse (30133212021), we get a palindrome (42154445124).

The spelling of 12021233103 in words is "twelve billion, twenty-one million, two hundred thirty-three thousand, one hundred three".

Divisors: 1 3 9 11 17 31 33 51 93 99 103 153 187 279 309 341 527 561 927 1023 1133 1581 1683 1751 2237 3069 3193 3399 4743 5253 5797 6711 9579 10197 15759 17391 19261 20133 24607 28737 35123 38029 52173 54281 57783 69347 73821 105369 114087 162843 173349 208041 221463 230411 316107 342261 418319 488529 597091 624123 691233 762817 1178899 1254957 1791273 2073699 2288451 2534521 3536697 3764871 3916987 5373819 6865353 7142741 7603563 10610091 11750961 12967889 21428223 22810689 35252883 38903667 43086857 64284669 78570151 116711001 121426597 129260571 235710453 364279791 387781713 707131359 1092839373 1335692567 4007077701 12021233103