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301012320021012 = 223237733095688017
BaseRepresentation
bin100010001110001001110010…
…0011010000110101000010100
31110110210111102010122220222200
41010130103210122012220110
5303423241212411133022
62544111052323324500
7120255264620616525
oct10434234432065024
91413714363586880
10301012320021012
1187a03676305566
1229916254b20730
13cbc6455c22b02
1454491071a284c
1524c004b9abbac
hex111c4e4686a14

301012320021012 has 72 divisors (see below), whose sum is σ = 792161798302056. Its totient is φ = 96288280049664.

The previous prime is 301012320020989. The next prime is 301012320021013. The reversal of 301012320021012 is 210120023210103.

301012320021012 is a `hidden beast` number, since 30 + 101 + 2 + 320 + 0 + 210 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73741137354756 + 227271182666256 = 8587266^2 + 15075516^2 .

It is a super-2 number, since 2×3010123200210122 (a number of 30 digits) contains 22 as substring.

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 (301012320021013) 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 23 ways as a sum of consecutive naturals, for example, 1547746773 + ... + 1547941244.

Almost surely, 2301012320021012 is an apocalyptic number.

It is an amenable number.

301012320021012 is an abundant number, since it is smaller than the sum of its proper divisors (491149478281044).

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

301012320021012 is a wasteful number, since it uses less digits than its factorization.

301012320021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095688137 (or 3095688132 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 301012320021012 its reverse (210120023210103), we get a palindrome (511132343231115).

The spelling of 301012320021012 in words is "three hundred one trillion, twelve billion, three hundred twenty million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 73 74 111 146 148 219 222 292 333 438 444 657 666 876 1314 1332 2628 2701 5402 8103 10804 16206 24309 32412 48618 97236 3095688017 6191376034 9287064051 12382752068 18574128102 27861192153 37148256204 55722384306 111444768612 114540456629 225985225241 229080913258 343621369887 451970450482 458161826516 677955675723 687242739774 903940900964 1030864109661 1355911351446 1374485479548 2033867027169 2061728219322 2711822702892 4067734054338 4123456438644 8135468108676 8361453333917 16722906667834 25084360001751 33445813335668 50168720003502 75253080005253 100337440007004 150506160010506 301012320021012