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1101110002013 = 71711388792317
BaseRepresentation
bin10000000001011111010…
…001010100000101011101
310220021011020201201020102
4100001133101110011131
5121020033130031023
62201502024430445
7142360350406010
oct20013721240535
93807136651212
101101110002013
11394a83987a2a
1215949b618425
137caaca4b6b8
143b418a8b377
151d998160628
hex1005f45415d

1101110002013 has 32 divisors (see below), whose sum is σ = 1345757151744. Its totient is φ = 879427325952.

The previous prime is 1101110002009. The next prime is 1101110002021. The reversal of 1101110002013 is 3102000111011.

It is a happy number.

It is not a de Polignac number, because 1101110002013 - 22 = 1101110002009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1101110001985 and 1101110002003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101110002073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11881331 + ... + 11973647.

It is an arithmetic number, because the mean of its divisors is an integer number (42054910992).

Almost surely, 21101110002013 is an apocalyptic number.

It is an amenable number.

1101110002013 is a deficient number, since it is larger than the sum of its proper divisors (244647149731).

1101110002013 is a wasteful number, since it uses less digits than its factorization.

1101110002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93341.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1101110002013 its reverse (3102000111011), we get a palindrome (4203110113024).

The spelling of 1101110002013 in words is "one trillion, one hundred one billion, one hundred ten million, two thousand, thirteen".

Divisors: 1 7 17 113 119 791 887 1921 6209 13447 15079 92317 100231 105553 646219 701617 1569389 1703927 10431821 10985723 11927489 73022747 81885179 177340957 573196253 1241386699 1392048043 9253025227 9744336301 64771176589 157301428859 1101110002013