Search a number
-
+
12230246511 = 337313756417
BaseRepresentation
bin10110110001111101…
…01100000001101111
31011120100100220012000
423120332230001233
5200021420342021
65341332343343
7612035244240
oct133076540157
934510326160
1012230246511
11520672324a
122453a74b53
1311cba7c072
14840434cc7
154b8aa1b26
hex2d8fac06f

12230246511 has 64 divisors (see below), whose sum is σ = 21953372160. Its totient is φ = 6580362240.

The previous prime is 12230246507. The next prime is 12230246519. The reversal of 12230246511 is 11564203221.

12230246511 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 0 + 2 + 4 + 651 + 1 = 666.

It is not a de Polignac number, because 12230246511 - 22 = 12230246507 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230246519) 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 63 ways as a sum of consecutive naturals, for example, 188575 + ... + 244991.

It is an arithmetic number, because the mean of its divisors is an integer number (343021440).

Almost surely, 212230246511 is an apocalyptic number.

12230246511 is a deficient number, since it is larger than the sum of its proper divisors (9723125649).

12230246511 is a wasteful number, since it uses less digits than its factorization.

12230246511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56501 (or 56495 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 12230246511 its reverse (11564203221), we get a palindrome (23794449732).

The spelling of 12230246511 in words is "twelve billion, two hundred thirty million, two hundred forty-six thousand, five hundred eleven".

Divisors: 1 3 7 9 21 27 31 37 63 93 111 189 217 259 279 333 651 777 837 999 1147 1953 2331 3441 5859 6993 8029 10323 24087 30969 56417 72261 169251 216783 394919 507753 1184757 1523259 1748927 2087429 3554271 5246781 6262287 10662813 12242489 14612003 15740343 18786861 36727467 43836009 47221029 56360583 64710299 110182401 131508027 194130897 330547203 394524081 452972093 582392691 1358916279 1747178073 4076748837 12230246511