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11120000010101 = 1710116373956269
BaseRepresentation
bin1010000111010001001110…
…1001101000011101110101
31110101001122220211210122222
42201310103221220131311
52424142230000310401
635352242452132125
72225251652350223
oct241642351503565
943331586753588
1011120000010101
1135a7a69120684
1212b7169607045
136287c4612ba8
142a62d48c1b13
151443cb662c1b
hexa1d13a68775

11120000010101 has 16 divisors (see below), whose sum is σ = 11897959797360. Its totient is φ = 10355927116800.

The previous prime is 11120000009941. The next prime is 11120000010103. The reversal of 11120000010101 is 10101000002111.

It is a happy number.

11120000010101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2398456203025 + 8721543807076 = 1548695^2 + 2953226^2 .

It is a cyclic number.

It is not a de Polignac number, because 11120000010101 - 234 = 11102820140917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120000010103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 832595 + ... + 4788863.

It is an arithmetic number, because the mean of its divisors is an integer number (743622487335).

Almost surely, 211120000010101 is an apocalyptic number.

It is an amenable number.

11120000010101 is a deficient number, since it is larger than the sum of its proper divisors (777959787259).

11120000010101 is a wasteful number, since it uses less digits than its factorization.

11120000010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3958024.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11120000010101 its reverse (10101000002111), we get a palindrome (21221000012212).

The spelling of 11120000010101 in words is "eleven trillion, one hundred twenty billion, ten thousand, one hundred one".

Divisors: 1 17 101 1637 1717 27829 165337 2810729 3956269 67256573 399583169 6476412353 6792913873 110099010001 654117647653 11120000010101