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1001144011 = 7793175711
BaseRepresentation
bin111011101011000…
…011111011001011
32120202211101101211
4323223003323023
54022243102021
6243201553551
733544404130
oct7353037313
92522741354
101001144011
1147413534a
1223b3458b7
1312c54ab0a
1496d68587
155cd5a3e1
hex3bac3ecb

1001144011 has 16 divisors (see below), whose sum is σ = 1162506240. Its totient is φ = 844440480.

The previous prime is 1001143961. The next prime is 1001144021. The reversal of 1001144011 is 1104411001.

It is not a de Polignac number, because 1001144011 - 27 = 1001143883 is a prime.

It is a super-2 number, since 2×10011440112 = 2004578661522336242, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001143982 and 1001144000.

It is not an unprimeable number, because it can be changed into a prime (1001144021) 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 15 ways as a sum of consecutive naturals, for example, 172446 + ... + 178156.

It is an arithmetic number, because the mean of its divisors is an integer number (72656640).

Almost surely, 21001144011 is an apocalyptic number.

1001144011 is a deficient number, since it is larger than the sum of its proper divisors (161362229).

1001144011 is an equidigital number, since it uses as much as digits as its factorization.

1001144011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6114.

The product of its (nonzero) digits is 16, while the sum is 13.

The square root of 1001144011 is about 31640.8598334495. The cubic root of 1001144011 is about 1000.3811916744.

Adding to 1001144011 its reverse (1104411001), we get a palindrome (2105555012).

The spelling of 1001144011 in words is "one billion, one million, one hundred forty-four thousand, eleven".

Divisors: 1 7 79 317 553 2219 5711 25043 39977 175301 451169 1810387 3158183 12672709 143020573 1001144011