Base | Representation |
---|---|
bin | 110111111110100010… |
… | …011000010010100100 |
3 | 12202010211011100210211 |
4 | 313332202120102210 |
5 | 1441043340000400 |
6 | 43340054425204 |
7 | 4225313033305 |
oct | 677642302244 |
9 | 182124140724 |
10 | 60105000100 |
11 | 23543784202 |
12 | b795062204 |
13 | 588b431822 |
14 | 2ca27c67ac |
15 | 186ba93dba |
hex | dfe8984a4 |
60105000100 has 72 divisors (see below), whose sum is σ = 133638161888. Its totient is φ = 23451724800.
The previous prime is 60105000089. The next prime is 60105000107. The reversal of 60105000100 is 100050106.
60105000100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×601050001002 (a number of 22 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (60105000107) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3375220 + ... + 3392980.
Almost surely, 260105000100 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 60105000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66819080944).
60105000100 is an abundant number, since it is smaller than the sum of its proper divisors (73533161788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
60105000100 is a wasteful number, since it uses less digits than its factorization.
60105000100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18605 (or 18598 counting only the distinct ones).
The product of its (nonzero) digits is 30, while the sum is 13.
Adding to 60105000100 its reverse (100050106), we get a palindrome (60205050206).
The spelling of 60105000100 in words is "sixty billion, one hundred five million, one hundred", and thus it is an aban number.
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