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11330410300 = 22521173141101
BaseRepresentation
bin10101000110101100…
…00101011100111100
31002020122011110221221
422203112011130330
5141201041112200
65112150003124
7550530620116
oct124326053474
932218143857
1011330410300
1148947a2a60
1222426464a4
1310b75120c1
14796b1c3b6
15464aa891a
hex2a358573c

11330410300 has 72 divisors (see below), whose sum is σ = 27189790992. Its totient is φ = 4063680000.

The previous prime is 11330410219. The next prime is 11330410303. The reversal of 11330410300 is 301403311.

11330410300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330410303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9750 + ... + 150850.

It is an arithmetic number, because the mean of its divisors is an integer number (377635986).

Almost surely, 211330410300 is an apocalyptic number.

11330410300 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 11330410300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13594895496).

11330410300 is an abundant number, since it is smaller than the sum of its proper divisors (15859380692).

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

11330410300 is a wasteful number, since it uses less digits than its factorization.

11330410300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141199 (or 141192 counting only the distinct ones).

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

Adding to 11330410300 its reverse (301403311), we get a palindrome (11631813611).

The spelling of 11330410300 in words is "eleven billion, three hundred thirty million, four hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 73 100 110 146 220 275 292 365 550 730 803 1100 1460 1606 1825 3212 3650 4015 7300 8030 16060 20075 40150 80300 141101 282202 564404 705505 1411010 1552111 2822020 3104222 3527525 6208444 7055050 7760555 10300373 14110100 15521110 20600746 31042220 38802775 41201492 51501865 77605550 103003730 113304103 155211100 206007460 226608206 257509325 453216412 515018650 566520515 1030037300 1133041030 2266082060 2832602575 5665205150 11330410300