Base | Representation |
---|---|
bin | 111000110100000000… |
… | …001111110011101010 |
3 | 12211110100001210200200 |
4 | 320310000033303222 |
5 | 1444413004201442 |
6 | 44005101013030 |
7 | 4256454426666 |
oct | 706400176352 |
9 | 184410053620 |
10 | 61002022122 |
11 | 23964062118 |
12 | b9a5554176 |
13 | 59a22248a2 |
14 | 2d499a98a6 |
15 | 18c06d334c |
hex | e3400fcea |
61002022122 has 48 divisors (see below), whose sum is σ = 133578823560. Its totient is φ = 20117569536.
The previous prime is 61002022033. The next prime is 61002022127. The reversal of 61002022122 is 22122020016.
61002022122 is a `hidden beast` number, since 610 + 0 + 20 + 22 + 12 + 2 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 17795826801 + 43206195321 = 133401^2 + 207861^2 .
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 = 61002022095 and 61002022104.
It is not an unprimeable number, because it can be changed into a prime (61002022127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10244298 + ... + 10250250.
Almost surely, 261002022122 is an apocalyptic number.
61002022122 is an abundant number, since it is smaller than the sum of its proper divisors (72576801438).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61002022122 is a wasteful number, since it uses less digits than its factorization.
61002022122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11927 (or 11924 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 61002022122 its reverse (22122020016), we get a palindrome (83124042138).
The spelling of 61002022122 in words is "sixty-one billion, two million, twenty-two thousand, one hundred twenty-two".
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