Base | Representation |
---|---|
bin | 1001101010100101100… |
… | …01001111001111111110 |
3 | 1011202012200211221022100 |
4 | 10311102301033033332 |
5 | 20420120341333042 |
6 | 412322023325530 |
7 | 32664526644426 |
oct | 4652261171776 |
9 | 1152180757270 |
10 | 332101121022 |
11 | 118930474690 |
12 | 54443bb08a6 |
13 | 254175b4b88 |
14 | 12106649486 |
15 | 898a9c224c |
hex | 4d52c4f3fe |
332101121022 has 96 divisors (see below), whose sum is σ = 809899534080. Its totient is φ = 97475472000.
The previous prime is 332101120957. The next prime is 332101121101. The reversal of 332101121022 is 220121101233.
332101121022 is a `hidden beast` number, since 332 + 101 + 1 + 210 + 22 = 666.
It is a super-2 number, since 2×3321011210222 (a number of 24 digits) contains 22 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 = 332101120986 and 332101121004.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 981247 + ... + 1275557.
It is an arithmetic number, because the mean of its divisors is an integer number (8436453480).
Almost surely, 2332101121022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 332101121022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404949767040).
332101121022 is an abundant number, since it is smaller than the sum of its proper divisors (477798413058).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
332101121022 is a wasteful number, since it uses less digits than its factorization.
332101121022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 294510 (or 294507 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 332101121022 its reverse (220121101233), we get a palindrome (552222222255).
The spelling of 332101121022 in words is "three hundred thirty-two billion, one hundred one million, one hundred twenty-one thousand, twenty-two".
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