Search a number
-
+
11020344104400 = 2435227133887897
BaseRepresentation
bin1010000001011101111110…
…1100100001010111010000
31110000112102201200021001120
42200113133230201113100
52421024131042320100
635234402020202240
72215123254211131
oct240273754412720
943015381607046
1011020344104400
113569779a46734
12129b996b39380
1361c2a219c557
142a155d431c88
151419e77470a0
hexa05dfb215d0

11020344104400 has 120 divisors (see below), whose sum is σ = 35432101736064. Its totient is φ = 2927914214400.

The previous prime is 11020344104377. The next prime is 11020344104417. The reversal of 11020344104400 is 440144302011.

It is a tau number, because it is divible by the number of its divisors (120).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16618749 + ... + 17269148.

Almost surely, 211020344104400 is an apocalyptic number.

11020344104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11020344104400 is an abundant number, since it is smaller than the sum of its proper divisors (24411757631664).

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

11020344104400 is a wasteful number, since it uses less digits than its factorization.

11020344104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33888189 (or 33888178 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11020344104400 its reverse (440144302011), we get a palindrome (11460488406411).

The spelling of 11020344104400 in words is "eleven trillion, twenty billion, three hundred forty-four million, one hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 271 300 400 542 600 813 1084 1200 1355 1626 2168 2710 3252 4065 4336 5420 6504 6775 8130 10840 13008 13550 16260 20325 21680 27100 32520 40650 54200 65040 81300 108400 162600 325200 33887897 67775794 101663691 135551588 169439485 203327382 271103176 338878970 406654764 508318455 542206352 677757940 813309528 847197425 1016636910 1355515880 1626619056 1694394850 2033273820 2541592275 2711031760 3388789700 4066547640 5083184550 6777579400 8133095280 9183620087 10166369100 13555158800 18367240174 20332738200 27550860261 36734480348 40665476400 45918100435 55101720522 73468960696 91836200870 110203441044 137754301305 146937921392 183672401740 220406882088 229590502175 275508602610 367344803480 440813764176 459181004350 551017205220 688771506525 734689606960 918362008700 1102034410440 1377543013050 1836724017400 2204068820880 2755086026100 3673448034800 5510172052200 11020344104400