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11341003300 = 22521122340751
BaseRepresentation
bin10101000111111100…
…11111101000100100
31002021101002122211021
422203332133220210
5141211244101200
65113205020524
7551016636364
oct124376375044
932241078737
1011341003300
11489a778700
1222460b4744
1310b9780853
147982b89a4
1546599c41a
hex2a3f9fa24

11341003300 has 108 divisors (see below), whose sum is σ = 28227443328. Its totient is φ = 3944600000.

The previous prime is 11341003253. The next prime is 11341003301. The reversal of 11341003300 is 330014311.

It is a super-2 number, since 2×113410033002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11341003301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 257925 + ... + 298675.

It is an arithmetic number, because the mean of its divisors is an integer number (261365216).

Almost surely, 211341003300 is an apocalyptic number.

11341003300 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 11341003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14113721664).

11341003300 is an abundant number, since it is smaller than the sum of its proper divisors (16886440028).

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

11341003300 is a wasteful number, since it uses less digits than its factorization.

11341003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40810 (or 40792 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11341003300 its reverse (330014311), we get a palindrome (11671017611).

The spelling of 11341003300 in words is "eleven billion, three hundred forty-one million, three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 121 220 230 242 253 275 460 484 506 550 575 605 1012 1100 1150 1210 1265 2300 2420 2530 2783 3025 5060 5566 6050 6325 11132 12100 12650 13915 25300 27830 40751 55660 69575 81502 139150 163004 203755 278300 407510 448261 815020 896522 937273 1018775 1793044 1874546 2037550 2241305 3749092 4075100 4482610 4686365 4930871 8965220 9372730 9861742 10310003 11206525 18745460 19723484 20620006 22413050 23431825 24654355 41240012 44826100 46863650 49308710 51550015 93727300 98617420 103100030 113410033 123271775 206200060 226820066 246543550 257750075 453640132 493087100 515500150 567050165 1031000300 1134100330 2268200660 2835250825 5670501650 11341003300