Search a number
-
+
1220031443000 = 235331137287269
BaseRepresentation
bin10001110000001111100…
…010100111000000111000
311022122010002101211220202
4101300033202213000320
5124442111022134000
62332250311541332
7154100342105336
oct21601742470070
94278102354822
101220031443000
11430459a41767
1217854a08a848
138b082651366
144309aa76b56
1521b085b7dd5
hex11c0f8a7038

1220031443000 has 128 divisors (see below), whose sum is σ = 2968487308800. Its totient is φ = 468821376000.

The previous prime is 1220031442991. The next prime is 1220031443003. The reversal of 1220031443000 is 3441300221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220031443003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4103366 + ... + 4390634.

It is an arithmetic number, because the mean of its divisors is an integer number (23191307100).

Almost surely, 21220031443000 is an apocalyptic number.

1220031443000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220031443000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484243654400).

1220031443000 is an abundant number, since it is smaller than the sum of its proper divisors (1748455865800).

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

1220031443000 is a wasteful number, since it uses less digits than its factorization.

1220031443000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287458 (or 287444 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1220031443000 its reverse (3441300221), we get a palindrome (1223472743221).

The spelling of 1220031443000 in words is "one trillion, two hundred twenty billion, thirty-one million, four hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 137 155 200 248 250 274 310 500 548 620 685 775 1000 1096 1240 1370 1550 2740 3100 3425 3875 4247 5480 6200 6850 7750 8494 13700 15500 16988 17125 21235 27400 31000 33976 34250 42470 68500 84940 106175 137000 169880 212350 287269 424700 530875 574538 849400 1061750 1149076 1436345 2123500 2298152 2872690 4247000 5745380 7181725 8905339 11490760 14363450 17810678 28726900 35621356 35908625 39355853 44526695 57453800 71242712 71817250 78711706 89053390 143634500 157423412 178106780 196779265 222633475 287269000 314846824 356213560 393558530 445266950 787117060 890533900 983896325 1113167375 1220031443 1574234120 1781067800 1967792650 2226334750 2440062886 3935585300 4452669500 4880125772 4919481625 6100157215 7871170600 8905339000 9760251544 9838963250 12200314430 19677926500 24400628860 30500786075 39355853000 48801257720 61001572150 122003144300 152503930375 244006288600 305007860750 610015721500 1220031443000