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2144110012 = 221129101127131
BaseRepresentation
bin111111111001100…
…1000010110111100
312112102112001222221
41333303020112330
513342343010022
6552431415124
7104063430412
oct17763102674
95472461887
102144110012
11a00326650
124ba0844a4
13282293365
14164a8d2b2
15c837bcc7
hex7fcc85bc

2144110012 has 96 divisors (see below), whose sum is σ = 4342947840. Its totient is φ = 917280000.

The previous prime is 2144109991. The next prime is 2144110013. The reversal of 2144110012 is 2100114412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144110013) 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 31 ways as a sum of consecutive naturals, for example, 16367187 + ... + 16367317.

It is an arithmetic number, because the mean of its divisors is an integer number (45239040).

Almost surely, 22144110012 is an apocalyptic number.

2144110012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2144110012 is an abundant number, since it is smaller than the sum of its proper divisors (2198837828).

2144110012 is a wasteful number, since it uses less digits than its factorization.

2144110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2144110012 is about 46304.5355445879. The cubic root of 2144110012 is about 1289.4831998336.

Adding to 2144110012 its reverse (2100114412), we get a palindrome (4244224424).

The spelling of 2144110012 in words is "two billion, one hundred forty-four million, one hundred ten thousand, twelve".

Divisors: 1 2 4 11 22 29 44 58 101 116 127 131 202 254 262 319 404 508 524 638 1111 1276 1397 1441 2222 2794 2882 2929 3683 3799 4444 5588 5764 5858 7366 7598 11716 12827 13231 14732 15196 16637 25654 26462 32219 33274 40513 41789 51308 52924 64438 66548 81026 83578 128876 141097 145541 162052 167156 183007 282194 291082 366014 371983 383699 482473 564388 582164 732028 743966 767398 964946 1487932 1534796 1680337 1929892 3360674 4091813 4220689 5307203 6721348 8183626 8441378 10614406 16367252 16882756 18483707 21228812 36967414 48729773 73934828 97459546 194919092 536027503 1072055006 2144110012