Search a number
-
+
111022120000109 = 29137101327585541
BaseRepresentation
bin11001001111100101011010…
…000001100101101001101101
3112120002121111102122122021102
4121033211122001211221231
5104022441300210000414
61032042505142412445
732246040426256043
oct3117453201455155
9476077442578242
10111022120000109
113241424244360a
12105509b7431125
1349c4458215c56
141d5b6dc044393
15cc7e17dacede
hex64f95a065a6d

111022120000109 has 16 divisors (see below), whose sum is σ = 115803001894320. Its totient is φ = 106306285155840.

The previous prime is 111022120000093. The next prime is 111022120000133. The reversal of 111022120000109 is 901000021220111.

It can be written as a sum of positive squares in 8 ways, for example, as 98358758884 + 110923761241225 = 313622^2 + 10532035^2 .

It is a cyclic number.

It is not a de Polignac number, because 111022120000109 - 24 = 111022120000093 is a prime.

It is a super-2 number, since 2×1110221200001092 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111022120000159) 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, 9768122 + ... + 17817419.

It is an arithmetic number, because the mean of its divisors is an integer number (7237687618395).

Almost surely, 2111022120000109 is an apocalyptic number.

It is an amenable number.

111022120000109 is a deficient number, since it is larger than the sum of its proper divisors (4780881894211).

111022120000109 is a wasteful number, since it uses less digits than its factorization.

111022120000109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27586720.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 111022120000109 in words is "one hundred eleven trillion, twenty-two billion, one hundred twenty million, one hundred nine", and thus it is an aban number.

Divisors: 1 29 137 1013 3973 29377 138781 4024649 27585541 799980689 3779219117 27944153033 109597354393 810380437957 3828348965521 111022120000109