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11330022432 = 253383308149
BaseRepresentation
bin10101000110101001…
…00110110000100000
31002020121102202220110
422203110212300200
5141200441204212
65112133411320
7550524413241
oct124324466040
932217382813
1011330022432
114894558603
122242499b40
1310b74076b1
14796a5acc8
15464a2da3c
hex2a3526c20

11330022432 has 48 divisors (see below), whose sum is σ = 29819059200. Its totient is φ = 3766801152.

The previous prime is 11330022427. The next prime is 11330022439. The reversal of 11330022432 is 23422003311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 11330022399 and 11330022408.

It is not an unprimeable number, because it can be changed into a prime (11330022439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117307 + ... + 190842.

It is an arithmetic number, because the mean of its divisors is an integer number (621230400).

Almost surely, 211330022432 is an apocalyptic number.

11330022432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11330022432 is an abundant number, since it is smaller than the sum of its proper divisors (18489036768).

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

11330022432 is a wasteful number, since it uses less digits than its factorization.

11330022432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308545 (or 308537 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 11330022432 its reverse (23422003311), we get a palindrome (34752025743).

The spelling of 11330022432 in words is "eleven billion, three hundred thirty million, twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 383 766 1149 1532 2298 3064 4596 6128 9192 12256 18384 36768 308149 616298 924447 1232596 1848894 2465192 3697788 4930384 7395576 9860768 14791152 29582304 118021067 236042134 354063201 472084268 708126402 944168536 1416252804 1888337072 2832505608 3776674144 5665011216 11330022432