Search a number
-
+
11305334800 = 245273387169
BaseRepresentation
bin10101000011101100…
…11011100000010000
31002011212222111211201
422201312123200100
5141123131203200
65105452320544
7550104521524
oct124166334020
932155874751
1011305334800
114881626401
122236173154
1310b2272726
14793671d84
154627a3c6a
hex2a1d9b810

11305334800 has 60 divisors (see below), whose sum is σ = 27533207380. Its totient is φ = 4460175360.

The previous prime is 11305334783. The next prime is 11305334839. The reversal of 11305334800 is 843350311.

It can be written as a sum of positive squares in 6 ways, for example, as 44729344 + 11260605456 = 6688^2 + 106116^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164385 + ... + 222784.

Almost surely, 211305334800 is an apocalyptic number.

11305334800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11305334800 is an abundant number, since it is smaller than the sum of its proper divisors (16227872580).

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

11305334800 is a wasteful number, since it uses less digits than its factorization.

11305334800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387260 (or 387249 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 11305334800 in words is "eleven billion, three hundred five million, three hundred thirty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 146 200 292 365 400 584 730 1168 1460 1825 2920 3650 5840 7300 14600 29200 387169 774338 1548676 1935845 3097352 3871690 6194704 7743380 9679225 15486760 19358450 28263337 30973520 38716900 56526674 77433800 113053348 141316685 154867600 226106696 282633370 452213392 565266740 706583425 1130533480 1413166850 2261066960 2826333700 5652667400 11305334800