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1001331023 = 72112168887
BaseRepresentation
bin111011101011110…
…001100101001111
32120210011212221012
4323223301211033
54022320043043
6243205555435
733546113300
oct7353614517
92523155835
101001331023
11474252900
1223b415b7b
1312c5b4c84
1496db67a7
155cd95a18
hex3baf194f

1001331023 has 18 divisors (see below), whose sum is σ = 1280339928. Its totient is φ = 780253320.

The previous prime is 1001330977. The next prime is 1001331029. The reversal of 1001331023 is 3201331001.

It is not a de Polignac number, because 1001331023 - 210 = 1001329999 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001330989 and 1001331007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001331029) 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 17 ways as a sum of consecutive naturals, for example, 78515 + ... + 90372.

It is an arithmetic number, because the mean of its divisors is an integer number (71129996).

Almost surely, 21001331023 is an apocalyptic number.

1001331023 is a deficient number, since it is larger than the sum of its proper divisors (279008905).

1001331023 is a wasteful number, since it uses less digits than its factorization.

1001331023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168923 (or 168905 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1001331023 is about 31643.8149248791. The cubic root of 1001331023 is about 1000.4434776319.

Adding to 1001331023 its reverse (3201331001), we get a palindrome (4202662024).

The spelling of 1001331023 in words is "one billion, one million, three hundred thirty-one thousand, twenty-three".

Divisors: 1 7 11 49 77 121 539 847 5929 168887 1182209 1857757 8275463 13004299 20435327 91030093 143047289 1001331023