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11341052000 = 255315718059
BaseRepresentation
bin10101000111111101…
…01011100001100000
31002021101012010121222
422203332223201200
5141211302131000
65113210034212
7551020231355
oct124376534140
932241163558
1011341052000
11489a801253
122246118968
1310b9799a75
147982cc62c
154659aba85
hex2a3fab860

11341052000 has 96 divisors (see below), whose sum is σ = 28044001440. Its totient is φ = 4507276800.

The previous prime is 11341051993. The next prime is 11341052027. The reversal of 11341052000 is 25014311.

11341052000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11341052000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 618971 + ... + 637029.

It is an arithmetic number, because the mean of its divisors is an integer number (292125015).

Almost surely, 211341052000 is an apocalyptic number.

11341052000 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 11341052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14022000720).

11341052000 is an abundant number, since it is smaller than the sum of its proper divisors (16702949440).

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

11341052000 is a wasteful number, since it uses less digits than its factorization.

11341052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18241 (or 18223 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 11341052000 its reverse (25014311), we get a palindrome (11366066311).

The spelling of 11341052000 in words is "eleven billion, three hundred forty-one million, fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 157 160 200 250 314 400 500 628 785 800 1000 1256 1570 2000 2512 3140 3925 4000 5024 6280 7850 12560 15700 18059 19625 25120 31400 36118 39250 62800 72236 78500 90295 125600 144472 157000 180590 288944 314000 361180 451475 577888 628000 722360 902950 1444720 1805900 2257375 2835263 2889440 3611800 4514750 5670526 7223600 9029500 11341052 14176315 14447200 18059000 22682104 28352630 36118000 45364208 56705260 70881575 72236000 90728416 113410520 141763150 226821040 283526300 354407875 453642080 567052600 708815750 1134105200 1417631500 2268210400 2835263000 5670526000 11341052000