Search a number
-
+
12033023002 = 27211134718269
BaseRepresentation
bin10110011010011100…
…10101110000011010
31011001121020220101121
423031032111300122
5144120423214002
65310005235454
7604122002500
oct131516256032
934047226347
1012033023002
115115367310
1223b9a02b8a
131199c57770
14822176670
154a65e5237
hex2cd395c1a

12033023002 has 96 divisors (see below), whose sum is σ = 25193306880. Its totient is φ = 4235253120.

The previous prime is 12033022997. The next prime is 12033023003. The reversal of 12033023002 is 20032033021.

12033023002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120330230022 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12033023003) 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 47 ways as a sum of consecutive naturals, for example, 649524 + ... + 667792.

It is an arithmetic number, because the mean of its divisors is an integer number (262430280).

Almost surely, 212033023002 is an apocalyptic number.

12033023002 is an abundant number, since it is smaller than the sum of its proper divisors (13160283878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12033023002 is a wasteful number, since it uses less digits than its factorization.

12033023002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18356 (or 18349 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 12033023002 its reverse (20032033021), we get a palindrome (32065056023).

The spelling of 12033023002 in words is "twelve billion, thirty-three million, twenty-three thousand, two".

Divisors: 1 2 7 11 13 14 22 26 47 49 77 91 94 98 143 154 182 286 329 517 539 611 637 658 1001 1034 1078 1222 1274 2002 2303 3619 4277 4606 6721 7007 7238 8554 13442 14014 18269 25333 29939 36538 47047 50666 59878 94094 127883 200959 237497 255766 329329 401918 474994 658658 858643 895181 1406713 1662479 1717286 1790362 2612467 2813426 3324958 5224934 6010501 9445073 9846991 11162359 11637353 12021002 18287269 18890146 19693982 22324718 23274706 36574538 42073507 66115511 78136513 84147014 122785949 128010883 132231022 156273026 245571898 256021766 462808577 546955591 859501643 925617154 1093911182 1719003286 6016511501 12033023002