Search a number
-
+
1334312133 = 371121722379
BaseRepresentation
bin100111110000111…
…1111110011000101
310102222202002010220
41033201333303011
510213040442013
6340222534553
745031315560
oct11741776305
93388662126
101334312133
11625203500
12312a37459
1318358c90b
14c92d34d7
157c21bb23
hex4f87fcc5

1334312133 has 144 divisors (see below), whose sum is σ = 2508656640. Its totient is φ = 616112640.

The previous prime is 1334312123. The next prime is 1334312171. The reversal of 1334312133 is 3312134331.

It is a happy number.

It is not a de Polignac number, because 1334312133 - 24 = 1334312117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334312123) 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 143 ways as a sum of consecutive naturals, for example, 16889988 + ... + 16890066.

Almost surely, 21334312133 is an apocalyptic number.

It is an amenable number.

1334312133 is a deficient number, since it is larger than the sum of its proper divisors (1174344507).

1334312133 is a wasteful number, since it uses less digits than its factorization.

1334312133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 140 counting only the distinct ones).

The product of its digits is 1944, while the sum is 24.

The square root of 1334312133 is about 36528.2374745894. The cubic root of 1334312133 is about 1100.9116775283.

Adding to 1334312133 its reverse (3312134331), we get a palindrome (4646446464).

The spelling of 1334312133 in words is "one billion, three hundred thirty-four million, three hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 7 11 17 21 23 33 51 69 77 79 119 121 161 187 231 237 253 289 357 363 391 483 553 561 759 847 867 869 1173 1309 1343 1659 1771 1817 2023 2057 2541 2607 2737 2783 3179 3927 4029 4301 5313 5451 6069 6083 6171 6647 8211 8349 9401 9537 9559 12719 12903 14399 14773 18249 19481 19941 19987 22253 22831 28203 28677 30107 30889 34969 38157 43197 44319 46529 47311 58443 59961 66759 66913 68493 73117 90321 92667 103411 104907 139587 139909 141933 159817 162503 200739 216223 219351 219857 244783 251141 310233 331177 339779 419727 479451 487509 511819 525113 648669 659571 734349 753423 804287 993531 1019337 1137521 1535457 1538999 1575339 1757987 2378453 2412861 2762551 3412563 3675791 3737569 4616997 5273961 5630009 5776243 7135359 8287653 11027373 11212707 16890027 17328729 19337857 26162983 40433701 58013571 63538673 78488949 121301103 190616019 444770711 1334312133