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11301414340 = 2252931928569
BaseRepresentation
bin10101000011001110…
…11110010111000100
31002011121121022222111
422201213132113010
5141121130224330
65105232310404
7550026302566
oct124147362704
932147538874
1011301414340
11487a398957
1222349a2404
1310b14cc128
14792d31336
1546227c32a
hex2a19de5c4

11301414340 has 24 divisors (see below), whose sum is σ = 23813982360. Its totient is φ = 4505134848.

The previous prime is 11301414337. The next prime is 11301414353. The reversal of 11301414340 is 4341410311.

It is a happy number.

11301414340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7558911364 + 3742502976 = 86942^2 + 61176^2 .

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 7 ways as a sum of consecutive naturals, for example, 958425 + ... + 970144.

It is an arithmetic number, because the mean of its divisors is an integer number (992249265).

Almost surely, 211301414340 is an apocalyptic number.

11301414340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11301414340 is an abundant number, since it is smaller than the sum of its proper divisors (12512568020).

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

11301414340 is a wasteful number, since it uses less digits than its factorization.

11301414340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928871 (or 1928869 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 11301414340 its reverse (4341410311), we get a palindrome (15642824651).

The spelling of 11301414340 in words is "eleven billion, three hundred one million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 293 586 1172 1465 2930 5860 1928569 3857138 7714276 9642845 19285690 38571380 565070717 1130141434 2260282868 2825353585 5650707170 11301414340