Base | Representation |
---|---|
bin | 110010010001100101101011… |
… | …110011110100010100010010 |
3 | 1001222220000012011102222110200 |
4 | 302101211223303310110102 |
5 | 212440140332122023442 |
6 | 2102133000024240030 |
7 | 64400513126431011 |
oct | 6221455363642422 |
9 | 1058800164388420 |
10 | 221111020111122 |
11 | 644a8725555a29 |
12 | 20970969310016 |
13 | 964b8ab49739b |
14 | 3c85b8ab72a78 |
15 | 1a869120d934c |
hex | c9196bcf4512 |
221111020111122 has 96 divisors (see below), whose sum is σ = 489210179880240. Its totient is φ = 72159164098560.
The previous prime is 221111020111103. The next prime is 221111020111139.
It is a happy number.
221111020111122 is a `hidden beast` number, since 221 + 1 + 110 + 201 + 11 + 122 = 666.
221111020111122 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 8 ways, for example, as 105979386247641 + 115131633863481 = 10294629^2 + 10729941^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 221111020111095 and 221111020111104.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4871444404 + ... + 4871489792.
Almost surely, 2221111020111122 is an apocalyptic number.
221111020111122 is an abundant number, since it is smaller than the sum of its proper divisors (268099159769118).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221111020111122 is a wasteful number, since it uses less digits than its factorization.
221111020111122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 72668 (or 72665 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 18.
The spelling of 221111020111122 in words is "two hundred twenty-one trillion, one hundred eleven billion, twenty million, one hundred eleven thousand, one hundred twenty-two".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.072 sec. • engine limits •