Search a number
-
+
13061780444100 = 22352229611896227
BaseRepresentation
bin1011111000010010111011…
…0010001001001111000100
31201020200201221022021011210
42332010232302021033010
53203001011243202400
643440255445531420
72515453044614253
oct276045662111704
951220657267153
1013061780444100
1141865195a4863
12156b563a13b70
1373994a24940b
1433229d14079a
15179b7837d950
hexbe12ec893c4

13061780444100 has 72 divisors (see below), whose sum is σ = 37793750607648. Its totient is φ = 3482987916800.

The previous prime is 13061780444017. The next prime is 13061780444113. The reversal of 13061780444100 is 144408716031.

It is a super-2 number, since 2×130617804441002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5940187 + ... + 7836413.

It is an arithmetic number, because the mean of its divisors is an integer number (524913202884).

Almost surely, 213061780444100 is an apocalyptic number.

13061780444100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13061780444100 is an abundant number, since it is smaller than the sum of its proper divisors (24731970163548).

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

13061780444100 is a wasteful number, since it uses less digits than its factorization.

13061780444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919205 (or 1919198 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 13061780444100 in words is "thirteen trillion, sixty-one billion, seven hundred eighty million, four hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 22961 45922 68883 91844 114805 137766 229610 275532 344415 459220 574025 688830 1148050 1377660 1722075 1896227 2296100 3444150 3792454 5688681 6888300 7584908 9481135 11377362 18962270 22754724 28443405 37924540 47405675 56886810 94811350 113773620 142217025 189622700 284434050 568868100 43539268147 87078536294 130617804441 174157072588 217696340735 261235608882 435392681470 522471217764 653089022205 870785362940 1088481703675 1306178044410 2176963407350 2612356088820 3265445111025 4353926814700 6530890222050 13061780444100