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12041324010 = 2325373409877
BaseRepresentation
bin10110011011011100…
…00000010111101010
31011002011212122020100
423031232000113222
5144130034332020
65310503210230
7604252364622
oct131556002752
934064778210
1012041324010
11511a016a51
122400746976
13119b8a2bc1
148232d7882
154a71d4a90
hex2cdb805ea

12041324010 has 96 divisors (see below), whose sum is σ = 31504009680. Its totient is φ = 3190938624.

The previous prime is 12041323997. The next prime is 12041324063. The reversal of 12041324010 is 1042314021.

12041324010 is a `hidden beast` number, since 1 + 2 + 0 + 413 + 240 + 10 = 666.

12041324010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 10197566289 + 1843757721 = 100983^2 + 42939^2 .

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

It is an unprimeable number.

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, 13729692 + ... + 13730568.

Almost surely, 212041324010 is an apocalyptic number.

12041324010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12041324010 is an abundant number, since it is smaller than the sum of its proper divisors (19462685670).

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

12041324010 is a wasteful number, since it uses less digits than its factorization.

12041324010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 12041324010 its reverse (1042314021), we get a palindrome (13083638031).

The spelling of 12041324010 in words is "twelve billion, forty-one million, three hundred twenty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 373 409 746 818 877 1119 1227 1754 1865 2045 2238 2454 2631 3357 3681 3730 4090 4385 5262 5595 6135 6714 7362 7893 8770 11190 12270 13155 15786 16785 18405 26310 33570 36810 39465 78930 152557 305114 327121 358693 457671 654242 717386 762785 915342 981363 1076079 1373013 1525570 1635605 1793465 1962726 2152158 2288355 2746026 2944089 3228237 3271210 3586930 4576710 4906815 5380395 5888178 6456474 6865065 9813630 10760790 13730130 14720445 16141185 29440890 32282370 133792489 267584978 401377467 668962445 802754934 1204132401 1337924890 2006887335 2408264802 4013774670 6020662005 12041324010