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1100430331 = 711132347797
BaseRepresentation
bin100000110010111…
…0011101111111011
32211200122122121221
41001211303233323
54223202232311
6301110012511
736161334460
oct10145635773
92750578557
101100430331
11515189660
12268647137
13146ca1810
14a6211667
156691d671
hex41973bfb

1100430331 has 32 divisors (see below), whose sum is σ = 1541772288. Its totient is φ = 757088640.

The previous prime is 1100430323. The next prime is 1100430347. The reversal of 1100430331 is 1330340011.

It is not a de Polignac number, because 1100430331 - 23 = 1100430323 is a prime.

It is a super-2 number, since 2×11004303312 = 2421893826769539122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1100430031) 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 31 ways as a sum of consecutive naturals, for example, 876 + ... + 46921.

It is an arithmetic number, because the mean of its divisors is an integer number (48180384).

Almost surely, 21100430331 is an apocalyptic number.

1100430331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1100430331 is a deficient number, since it is larger than the sum of its proper divisors (441341957).

1100430331 is a wasteful number, since it uses less digits than its factorization.

1100430331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47851.

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

The square root of 1100430331 is about 33172.7347531071. The cubic root of 1100430331 is about 1032.4147106742.

Adding to 1100430331 its reverse (1330340011), we get a palindrome (2430770342).

The spelling of 1100430331 in words is "one billion, one hundred million, four hundred thirty thousand, three hundred thirty-one".

Divisors: 1 7 11 13 23 77 91 143 161 253 299 1001 1771 2093 3289 23023 47797 334579 525767 621361 1099331 3680369 4349527 6834971 7695317 12092641 14291303 47844797 84648487 100039121 157204333 1100430331