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301312020012144 = 24346765712045629
BaseRepresentation
bin100010010000010101010101…
…1111010110101110001110000
31110111212010222202001220221020
41010200222223322311301300
5303443144004110342034
62544500455302255440
7120316034513534601
oct10440525372656160
91414763882056836
10301312020012144
118800978a121749
1229964355a27580
13cc187a884c87b
14545981852bda8
1524c7c3cb59249
hex1120aabeb5c70

301312020012144 has 80 divisors (see below), whose sum is σ = 780175265051520. Its totient is φ = 100206969557760.

The previous prime is 301312020012137. The next prime is 301312020012193. The reversal of 301312020012144 is 441210020213103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146272722 + ... + 148318350.

It is an arithmetic number, because the mean of its divisors is an integer number (9752190813144).

Almost surely, 2301312020012144 is an apocalyptic number.

It is an amenable number.

301312020012144 is an abundant number, since it is smaller than the sum of its proper divisors (478863245039376).

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

301312020012144 is a wasteful number, since it uses less digits than its factorization.

301312020012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052678 (or 2052672 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 301312020012144 its reverse (441210020213103), we get a palindrome (742522040225247).

The spelling of 301312020012144 in words is "three hundred one trillion, three hundred twelve billion, twenty million, twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 467 934 1401 1868 2802 3736 5604 6571 7472 11208 13142 19713 22416 26284 39426 52568 78852 105136 157704 315408 2045629 3068657 4091258 6136887 6137314 8182516 9205971 12273774 12274628 16365032 18411942 24547548 24549256 32730064 36823884 49095096 49098512 73647768 98190192 147295536 955308743 1910617486 2865926229 3821234972 5731852458 7642469944 11463704916 13441828159 15284939888 22927409832 26883656318 40325484477 45854819664 53767312636 80650968954 107534625272 161301937908 215069250544 322603875816 645207751632 6277333750253 12554667500506 18832001250759 25109335001012 37664002501518 50218670002024 75328005003036 100437340004048 150656010006072 301312020012144