Search a number
-
+
12230120133 = 32711241109359
BaseRepresentation
bin10110110001111100…
…01101001011000101
31011120100010110211100
423120332031023011
5200021402321013
65341325530313
7612034206630
oct133076151305
934510113740
1012230120133
115206647300
122453a13999
1311cba3669a
14840400c17
154b8a79473
hex2d8f8d2c5

12230120133 has 144 divisors (see below), whose sum is σ = 23005382400. Its totient is φ = 6124377600.

The previous prime is 12230120129. The next prime is 12230120137. The reversal of 12230120133 is 33102103221.

It is an interprime number because it is at equal distance from previous prime (12230120129) and next prime (12230120137).

It is not a de Polignac number, because 12230120133 - 22 = 12230120129 is a prime.

It is a super-2 number, since 2×122301201332 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230120137) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34067008 + ... + 34067366.

It is an arithmetic number, because the mean of its divisors is an integer number (159759600).

Almost surely, 212230120133 is an apocalyptic number.

It is an amenable number.

12230120133 is a deficient number, since it is larger than the sum of its proper divisors (10775262267).

12230120133 is a wasteful number, since it uses less digits than its factorization.

12230120133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 530 counting only the distinct ones).

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

Adding to 12230120133 its reverse (33102103221), we get a palindrome (45332223354).

The spelling of 12230120133 in words is "twelve billion, two hundred thirty million, one hundred twenty thousand, one hundred thirty-three".

Divisors: 1 3 7 9 11 21 33 41 63 77 99 109 121 123 231 287 327 359 363 369 451 693 763 847 861 981 1077 1089 1199 1353 2289 2513 2541 2583 3157 3231 3597 3949 4059 4469 4961 6867 7539 7623 8393 9471 10791 11847 13189 13407 14719 14883 22617 25179 27643 28413 31283 34727 35541 39131 39567 40221 43439 44157 44649 49159 75537 82929 92323 93849 103033 104181 117393 118701 130317 132471 147477 161909 248787 273917 276969 281547 304073 309099 312543 344113 352179 390951 430441 442431 485727 540749 821751 830907 912219 927297 1032339 1133363 1291323 1457181 1604371 1622247 1780999 2465253 2736657 3013087 3097017 3400089 3785243 3873969 4734851 4813113 4866741 5342997 9039261 10200267 11230597 11355729 12466993 14204553 14439339 16028991 17648081 27117783 33143957 33691791 34067187 37400979 42613659 52944243 99431871 101075373 112202937 123536567 158832729 194128891 298295613 370609701 582386673 1111829103 1358902237 1747160019 4076706711 12230120133