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10001310011 = 711295975913
BaseRepresentation
bin10010101000001111…
…11110000100111011
3221211000020012010022
421110013332010323
5130440313410021
64332230441055
7502561506140
oct112407760473
927730205108
1010001310011
11427252a270
121b3150318b
13c35058824
146ac3c43c7
153d806b1ab
hex2541fe13b

10001310011 has 32 divisors (see below), whose sum is σ = 13117939200. Its totient is φ = 7396865280.

The previous prime is 10001309977. The next prime is 10001310017. The reversal of 10001310011 is 11001310001.

It is not a de Polignac number, because 10001310011 - 26 = 10001309947 is a prime.

It is a super-2 number, since 2×100013100112 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001310017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93791 + ... + 169703.

It is an arithmetic number, because the mean of its divisors is an integer number (409935600).

Almost surely, 210001310011 is an apocalyptic number.

10001310011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10001310011 is a deficient number, since it is larger than the sum of its proper divisors (3116629189).

10001310011 is a wasteful number, since it uses less digits than its factorization.

10001310011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76019.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10001310011 its reverse (11001310001), we get a palindrome (21002620012).

The spelling of 10001310011 in words is "ten billion, one million, three hundred ten thousand, eleven".

Divisors: 1 7 11 29 59 77 203 319 413 649 1711 2233 4543 11977 18821 75913 131747 531391 835043 2201477 4478867 5845301 15410339 24216247 31352069 49267537 129887143 169513729 344872759 909210001 1428758573 10001310011