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10001320311 = 327116277561
BaseRepresentation
bin10010101000010000…
…00000100101110111
3221211000020201020210
421110020000211313
5130440314222221
64332231000503
7502561551153
oct112410004567
927730221223
1010001320311
114272536a84
121b31509133
13c35060418
146ac3c8063
153d806e276
hex254200977

10001320311 has 16 divisors (see below), whose sum is σ = 13394298368. Its totient is φ = 6637982400.

The previous prime is 10001320297. The next prime is 10001320319. The reversal of 10001320311 is 11302310001.

It is not a de Polignac number, because 10001320311 - 27 = 10001320183 is a prime.

It is a super-2 number, since 2×100013203112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001320319) 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, 1318971 + ... + 1326531.

It is an arithmetic number, because the mean of its divisors is an integer number (837143648).

Almost surely, 210001320311 is an apocalyptic number.

10001320311 is a deficient number, since it is larger than the sum of its proper divisors (3392978057).

10001320311 is a wasteful number, since it uses less digits than its factorization.

10001320311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9462.

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

Adding to 10001320311 its reverse (11302310001), we get a palindrome (21303630312).

The spelling of 10001320311 in words is "ten billion, one million, three hundred twenty thousand, three hundred eleven".

Divisors: 1 3 271 813 1627 4881 7561 22683 440917 1322751 2049031 6147093 12301747 36905241 3333773437 10001320311