Search a number
-
+
12000255111 = 33131371631531
BaseRepresentation
bin10110010110100010…
…10101110010000111
31010222022121010022000
423023101111302013
5144034031130421
65302435040343
7603243325335
oct131321256207
933868533260
1012000255111
1150a8916309
1223aaa400b3
131193223990
1481ba86b55
154a37c1226
hex2cb455c87

12000255111 has 64 divisors (see below), whose sum is σ = 19416445440. Its totient is φ = 7281135360.

The previous prime is 12000255097. The next prime is 12000255139. The reversal of 12000255111 is 11155200021.

12000255111 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 12000255111 - 27 = 12000254983 is a prime.

It is a super-2 number, since 2×120002551112 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12000259111) 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 63 ways as a sum of consecutive naturals, for example, 7837416 + ... + 7838946.

It is an arithmetic number, because the mean of its divisors is an integer number (303381960).

Almost surely, 212000255111 is an apocalyptic number.

12000255111 is a deficient number, since it is larger than the sum of its proper divisors (7416190329).

12000255111 is a wasteful number, since it uses less digits than its factorization.

12000255111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

Adding to 12000255111 its reverse (11155200021), we get a palindrome (23155455132).

The spelling of 12000255111 in words is "twelve billion, two hundred fifty-five thousand, one hundred eleven".

Divisors: 1 3 9 13 27 39 117 137 163 351 411 489 1233 1467 1531 1781 2119 3699 4401 4593 5343 6357 13779 16029 19071 19903 22331 41337 48087 57213 59709 66993 179127 200979 209747 249553 290303 537381 602937 629241 748659 870909 1887723 2245977 2612727 2726711 3244189 5663169 6737931 7838181 8180133 9732567 24540399 29197701 34188761 73621197 87593103 102566283 307698849 444453893 923096547 1333361679 4000085037 12000255111