Search a number
-
+
300001212133000 = 2353726122473717
BaseRepresentation
bin100010000110110010111100…
…1101011100110111010001000
31110100012211120021210022201221
41010031211321223212322020
5303310204440301224000
62542014353152251424
7120122241463440400
oct10415457153467210
91410184507708657
10300001212133000
1187653888262a34
12297922b2b40b74
13cb51cba586991
1454121c9803800
1524a3abee9461a
hex110d979ae6e88

300001212133000 has 96 divisors (see below), whose sum is σ = 816615544506840. Its totient is φ = 102857558428800.

The previous prime is 300001212132997. The next prime is 300001212133009. The reversal of 300001212133000 is 331212100003.

It can be written as a sum of positive squares in 4 ways, for example, as 171788573230596 + 128212638902404 = 13106814^2 + 11323102^2 .

It is not an unprimeable number, because it can be changed into a prime (300001212133009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3061187859 + ... + 3061285858.

Almost surely, 2300001212133000 is an apocalyptic number.

It is an amenable number.

300001212133000 is an abundant number, since it is smaller than the sum of its proper divisors (516614332373840).

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

300001212133000 is a wasteful number, since it uses less digits than its factorization.

300001212133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6122473752 (or 6122473731 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 300001212133000 its reverse (331212100003), we get a palindrome (300332424233003).

The spelling of 300001212133000 in words is "three hundred trillion, one billion, two hundred twelve million, one hundred thirty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 6122473717 12244947434 24489894868 30612368585 42857316019 48979789736 61224737170 85714632038 122449474340 153061842925 171429264076 214286580095 244898948680 300001212133 306123685850 342858528152 428573160190 600002424266 612247371700 765309214625 857146320380 1071432900475 1200004848532 1224494743400 1500006060665 1530618429250 1714292640760 2142865800950 2400009697064 3000012121330 3061236858500 4285731601900 5357164502375 6000024242660 6122473717000 7500030303325 8571463203800 10714329004750 12000048485320 15000060606650 21428658009500 30000121213300 37500151516625 42857316019000 60000242426600 75000303033250 150000606066500 300001212133000