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10011001110011 = 1173137593153457
BaseRepresentation
bin1001000110101101111000…
…1010100011110111111011
31022110001010212202112201022
42101223132022203313323
52303010012241010021
633142553533013055
72052161640262316
oct221533612436773
938401125675638
1010011001110011
11320a70715a880
12115824802418b
13578058381185
1426876c20b97d
15125620b511ab
hex91ade2a3dfb

10011001110011 has 32 divisors (see below), whose sum is σ = 11170382148288. Its totient is φ = 8895635619840.

The previous prime is 10011001109981. The next prime is 10011001110031. The reversal of 10011001110011 is 11001110011001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10011001110011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011001110031) 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, 65159795 + ... + 65313251.

It is an arithmetic number, because the mean of its divisors is an integer number (349074442134).

Almost surely, 210011001110011 is an apocalyptic number.

10011001110011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10011001110011 is a deficient number, since it is larger than the sum of its proper divisors (1159381038277).

10011001110011 is a wasteful number, since it uses less digits than its factorization.

10011001110011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154271.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10011001110011 its reverse (11001110011001), we get a palindrome (21012111121012).

It can be divided in two parts, 10011001 and 110011, that multiplied together give a palindrome (1101320231011).

The spelling of 10011001110011 in words is "ten trillion, eleven billion, one million, one hundred ten thousand, eleven".

Divisors: 1 11 73 137 593 803 1507 6523 10001 43289 81241 110011 153457 476179 893651 1688027 5930593 11202361 21023609 65236523 91000001 123225971 231259699 1001000011 1534723457 6643000073 12467000137 16881958027 73073000803 137137001507 910091010001 10011001110011