Base | Representation |
---|---|
bin | 101110101110000110… |
… | …0011001110110111010 |
3 | 100120222020111001110000 |
4 | 1131130030121312322 |
5 | 3120434214101242 |
6 | 114031425333430 |
7 | 10151203312524 |
oct | 1353414316672 |
9 | 316866431400 |
10 | 100331003322 |
11 | 39606265870 |
12 | 17540797276 |
13 | 95cc2740b4 |
14 | 4bdadc4a14 |
15 | 292331ea4c |
hex | 175c319dba |
100331003322 has 160 divisors (see below), whose sum is σ = 251696579904. Its totient is φ = 29607379200.
The previous prime is 100331003309. The next prime is 100331003323. The reversal of 100331003322 is 223300133001.
100331003322 is a `hidden beast` number, since 1 + 0 + 0 + 331 + 0 + 0 + 332 + 2 = 666.
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 = 100331003295 and 100331003304.
It is not an unprimeable number, because it can be changed into a prime (100331003323) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58229553 + ... + 58231275.
Almost surely, 2100331003322 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 100331003322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125848289952).
100331003322 is an abundant number, since it is smaller than the sum of its proper divisors (151365576582).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100331003322 is a wasteful number, since it uses less digits than its factorization.
100331003322 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2586 (or 2577 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 100331003322 its reverse (223300133001), we get a palindrome (323631136323).
The spelling of 100331003322 in words is "one hundred billion, three hundred thirty-one million, three thousand, three hundred twenty-two".
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