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11331140420 = 2252923098461
BaseRepresentation
bin10101000110110001…
…10111101101000100
31002020200112120111102
422203120313231010
5141201232443140
65112213355232
7550540050545
oct124330675504
932220476442
1011331140420
114895151566
122242938b18
1310b7709522
14796c6c4cc
15464b9ee15
hex2a3637b44

11331140420 has 48 divisors (see below), whose sum is σ = 24629497200. Its totient is φ = 4373752320.

The previous prime is 11331140413. The next prime is 11331140473. The reversal of 11331140420 is 2404113311.

11331140420 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 8 ways, for example, as 1047557956 + 10283582464 = 32366^2 + 101408^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11331140392 and 11331140401.

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, 1334990 + ... + 1343450.

It is an arithmetic number, because the mean of its divisors is an integer number (513114525).

Almost surely, 211331140420 is an apocalyptic number.

11331140420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331140420 is an abundant number, since it is smaller than the sum of its proper divisors (13298356780).

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

11331140420 is a wasteful number, since it uses less digits than its factorization.

11331140420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10808 (or 10806 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11331140420 its reverse (2404113311), we get a palindrome (13735253731).

The spelling of 11331140420 in words is "eleven billion, three hundred thirty-one million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 2309 4618 8461 9236 11545 16922 23090 33844 42305 46180 66961 84610 133922 169220 245369 267844 334805 490738 669610 981476 1226845 1339220 2453690 4907380 19536449 39072898 78145796 97682245 195364490 390728980 566557021 1133114042 2266228084 2832785105 5665570210 11331140420