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1101334320 = 24355181313
BaseRepresentation
bin100000110100101…
…0000011100110000
32211202100120200000
41001221100130300
54223420144240
6301141230000
736202121142
oct10151203460
92752316600
101101334320
11515746859
12268a02300
1314722a118
14a63a8c92
1566a4b430
hex41a50730

1101334320 has 240 divisors, whose sum is σ = 3869148192. Its totient is φ = 291133440.

The previous prime is 1101334313. The next prime is 1101334331. The reversal of 1101334320 is 234331011.

1101334320 is a `hidden beast` number, since 1 + 10 + 1 + 334 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1101334293 and 1101334302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3518484 + ... + 3518796.

Almost surely, 21101334320 is an apocalyptic number.

1101334320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934574096).

1101334320 is an abundant number, since it is smaller than the sum of its proper divisors (2767813872).

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

1101334320 is a wasteful number, since it uses less digits than its factorization.

1101334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1101334320 is about 33186.3574379594. The cubic root of 1101334320 is about 1032.6973383184.

Adding to 1101334320 its reverse (234331011), we get a palindrome (1335665331).

The spelling of 1101334320 in words is "one billion, one hundred one million, three hundred thirty-four thousand, three hundred twenty".