Base | Representation |
---|---|
bin | 11101001010100100000… |
… | …00110011001000100010 |
3 | 10112210121022012012122100 |
4 | 32211102000303020202 |
5 | 112404301422233442 |
6 | 2044205423551230 |
7 | 132254024454411 |
oct | 16452200631042 |
9 | 3483538165570 |
10 | 1002103321122 |
11 | 356a98222212 |
12 | 14226a45b516 |
13 | 73661c7a257 |
14 | 36705919478 |
15 | 1b10123784c |
hex | e952033222 |
1002103321122 has 48 divisors (see below), whose sum is σ = 2265717168000. Its totient is φ = 319498191936.
The previous prime is 1002103321103. The next prime is 1002103321123. The reversal of 1002103321122 is 2211233012001.
1002103321122 is a `hidden beast` number, since 1 + 0 + 0 + 210 + 332 + 1 + 122 = 666.
It is a super-2 number, since 2×10021033211222 (a number of 25 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 = 1002103321095 and 1002103321104.
It is not an unprimeable number, because it can be changed into a prime (1002103321123) 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, 19153254 + ... + 19205502.
It is an arithmetic number, because the mean of its divisors is an integer number (47202441000).
Almost surely, 21002103321122 is an apocalyptic number.
1002103321122 is an abundant number, since it is smaller than the sum of its proper divisors (1263613846878).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1002103321122 is a wasteful number, since it uses less digits than its factorization.
1002103321122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 98607 (or 98604 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 1002103321122 its reverse (2211233012001), we get a palindrome (3213336333123).
The spelling of 1002103321122 in words is "one trillion, two billion, one hundred three million, three hundred twenty-one thousand, one hundred twenty-two".
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