Base | Representation |
---|---|
bin | 101111101100000011… |
… | …1010001001111111010 |
3 | 100210100010112122210200 |
4 | 1133120013101033322 |
5 | 3134213432011442 |
6 | 115014014223030 |
7 | 10253546624136 |
oct | 1373007211772 |
9 | 323303478720 |
10 | 102410032122 |
11 | 3a48287a992 |
12 | 17a20ab4a76 |
13 | 9870bcb758 |
14 | 4d571723c6 |
15 | 29e5ae334c |
hex | 17d81d13fa |
102410032122 has 96 divisors (see below), whose sum is σ = 241227866880. Its totient is φ = 31322712960.
The previous prime is 102410032037. The next prime is 102410032141. The reversal of 102410032122 is 221230014201.
It is a happy number.
102410032122 is a `hidden beast` number, since 102 + 410 + 0 + 32 + 122 = 666.
It is a super-3 number, since 3×1024100321223 (a number of 34 digits) contains 333 as substring.
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 = 102410032095 and 102410032104.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 768847 + ... + 892157.
It is an arithmetic number, because the mean of its divisors is an integer number (2512790280).
Almost surely, 2102410032122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 102410032122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120613933440).
102410032122 is an abundant number, since it is smaller than the sum of its proper divisors (138817834758).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102410032122 is a wasteful number, since it uses less digits than its factorization.
102410032122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 123428 (or 123425 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 102410032122 its reverse (221230014201), we get a palindrome (323640046323).
The spelling of 102410032122 in words is "one hundred two billion, four hundred ten million, thirty-two thousand, one hundred twenty-two".
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