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1100013321 = 311101330037
BaseRepresentation
bin100000110010000…
…1101111100001001
32211122212110121010
41001210031330021
54223100411241
6301053034133
736154646631
oct10144157411
92748773533
101100013321
11514a24320
12268485949
13146b86a74
14a61436c1
1566889d16
hex4190df09

1100013321 has 16 divisors (see below), whose sum is σ = 1615866048. Its totient is φ = 660072000.

The previous prime is 1100013319. The next prime is 1100013329. The reversal of 1100013321 is 1233100011.

It is not a de Polignac number, because 1100013321 - 21 = 1100013319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100013297 and 1100013306.

It is not an unprimeable number, because it can be changed into a prime (1100013329) 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 15 ways as a sum of consecutive naturals, for example, 161686 + ... + 168351.

It is an arithmetic number, because the mean of its divisors is an integer number (100991628).

Almost surely, 21100013321 is an apocalyptic number.

1100013321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100013321 is a deficient number, since it is larger than the sum of its proper divisors (515852727).

1100013321 is a wasteful number, since it uses less digits than its factorization.

1100013321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330152.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1100013321 is about 33166.4487245771. The cubic root of 1100013321 is about 1032.2842824103.

Adding to 1100013321 its reverse (1233100011), we get a palindrome (2333113332).

The spelling of 1100013321 in words is "one billion, one hundred million, thirteen thousand, three hundred twenty-one".

Divisors: 1 3 11 33 101 303 1111 3333 330037 990111 3630407 10891221 33333737 100001211 366671107 1100013321