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101101110000111 = 32132205913322807
BaseRepresentation
bin10110111111001101101111…
…101111110111100111101111
3111020222011122012001010220200
4112333031233233313213233
5101222420033130000421
6555005113031244543
730203212516542564
oct2677155757674757
9436864565033820
10101101110000111
112a239815992731
12b40a0a5219753
134454a41b93800
141ad746989c86b
15ba4d1292e726
hex5bf36fbf79ef

101101110000111 has 36 divisors (see below), whose sum is σ = 158133763212048. Its totient is φ = 62215572811392.

The previous prime is 101101110000097. The next prime is 101101110000127. The reversal of 101101110000111 is 111000011101101.

It is not a de Polignac number, because 101101110000111 - 26 = 101101110000047 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101101110000093 and 101101110000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101110000181) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 313032270 + ... + 313355076.

It is an arithmetic number, because the mean of its divisors is an integer number (4392604533668).

Almost surely, 2101101110000111 is an apocalyptic number.

101101110000111 is a deficient number, since it is larger than the sum of its proper divisors (57032653211937).

101101110000111 is a wasteful number, since it uses less digits than its factorization.

101101110000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528752 (or 528736 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101101110000111 its reverse (111000011101101), we get a palindrome (212101121101212).

The spelling of 101101110000111 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, one hundred eleven", and thus it is an aban number.

Divisors: 1 3 9 13 39 117 169 507 1521 205913 322807 617739 968421 1853217 2676869 2905263 4196491 8030607 12589473 24091821 34799297 37768419 54554383 104397891 163663149 313193673 490989447 66470157791 199410473373 598231420119 864112051283 2592336153849 7777008461547 11233456666679 33700370000037 101101110000111