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2424102012 = 22331710912113
BaseRepresentation
bin1001000001111100…
…1101110001111100
320020221101010211000
42100133031301330
514431032231022
61040312530300
7114033345543
oct22037156174
96227333730
102424102012
1110343847a2
125779b0990
132c82a71b7
1418dd3515a
15e2c376ac
hex907cdc7c

2424102012 has 96 divisors (see below), whose sum is σ = 6716001600. Its totient is φ = 753463296.

The previous prime is 2424102011. The next prime is 2424102019. The reversal of 2424102012 is 2102014242.

2424102012 is a `hidden beast` number, since 242 + 410 + 2 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2424102011) 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 31 ways as a sum of consecutive naturals, for example, 194068 + ... + 206180.

It is an arithmetic number, because the mean of its divisors is an integer number (69958350).

Almost surely, 22424102012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2424102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358000800).

2424102012 is an abundant number, since it is smaller than the sum of its proper divisors (4291899588).

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

2424102012 is a wasteful number, since it uses less digits than its factorization.

2424102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12252 (or 12244 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2424102012 is about 49235.1704780231. The cubic root of 2424102012 is about 1343.3328361248.

Adding to 2424102012 its reverse (2102014242), we get a palindrome (4526116254).

The spelling of 2424102012 in words is "two billion, four hundred twenty-four million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 109 153 204 218 306 327 436 459 612 654 918 981 1308 1836 1853 1962 2943 3706 3924 5559 5886 7412 11118 11772 12113 16677 22236 24226 33354 36339 48452 50031 66708 72678 100062 109017 145356 200124 205921 218034 327051 411842 436068 617763 654102 823684 1235526 1308204 1320317 1853289 2471052 2640634 3706578 3960951 5281268 5559867 7413156 7921902 11119734 11882853 15843804 22239468 22445389 23765706 35648559 44890778 47531412 67336167 71297118 89781556 134672334 142594236 202008501 269344668 404017002 606025503 808034004 1212051006 2424102012