Base | Representation |
---|---|
bin | 110001101001010100… |
… | …0100000101100001010 |
3 | 101012012001021002121000 |
4 | 1203102220200230022 |
5 | 3221320420100442 |
6 | 120551035355430 |
7 | 10462653655005 |
oct | 1432250405412 |
9 | 335161232530 |
10 | 106613050122 |
11 | 4123a318587 |
12 | 187b45b2b76 |
13 | a0908c3057 |
14 | 523545253c |
15 | 2b8eabbd4c |
hex | 18d2a20b0a |
106613050122 has 64 divisors (see below), whose sum is σ = 239614018560. Its totient is φ = 35134606512.
The previous prime is 106613050067. The next prime is 106613050123. The reversal of 106613050122 is 221050316601.
106613050122 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 130 + 501 + 22 = 666.
It is a super-4 number, since 4×1066130501224 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (106613050123) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2887993 + ... + 2924675.
It is an arithmetic number, because the mean of its divisors is an integer number (3743969040).
Almost surely, 2106613050122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106613050122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119807009280).
106613050122 is an abundant number, since it is smaller than the sum of its proper divisors (133000968438).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106613050122 is a wasteful number, since it uses less digits than its factorization.
106613050122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 37304 (or 37298 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 27.
Adding to 106613050122 its reverse (221050316601), we get a palindrome (327663366723).
The spelling of 106613050122 in words is "one hundred six billion, six hundred thirteen million, fifty thousand, one hundred twenty-two".
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