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10010111111011 = 1197139251268897
BaseRepresentation
bin1001000110101010100100…
…0111011110111101100011
31022102221211212001220121101
42101222221013132331203
52303001201421023021
633142325341135231
72052130612356124
oct221525107367543
938387755056541
1010010111111011
11320a29a839410
121158039b5a517
13577c45b7994b
142686c5d3604b
151255bc94ca91
hex91aa91def63

10010111111011 has 32 divisors (see below), whose sum is σ = 11156384413440. Its totient is φ = 8905835520000.

The previous prime is 10010111110999. The next prime is 10010111111051. The reversal of 10010111111011 is 11011111101001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10010111111011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010111111051) 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, 37092115 + ... + 37361011.

It is an arithmetic number, because the mean of its divisors is an integer number (348637012920).

Almost surely, 210010111111011 is an apocalyptic number.

10010111111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10010111111011 is a deficient number, since it is larger than the sum of its proper divisors (1146273302429).

10010111111011 is a wasteful number, since it uses less digits than its factorization.

10010111111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269395.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 10010111111011 its reverse (11011111101001), we get a palindrome (21021222212012).

The spelling of 10010111111011 in words is "ten trillion, ten billion, one hundred eleven million, one hundred eleven thousand, eleven".

Divisors: 1 11 97 139 251 1067 1529 2761 13483 24347 34889 148313 267817 268897 383779 2957867 3384233 26083009 37226563 37376683 67493147 286913099 411143513 742424617 3625538251 6546835259 9381547433 39880920761 72015187849 103197021763 910010101001 10010111111011