Base | Representation |
---|---|
bin | 11101001010100110010… |
… | …00110110111011001100 |
3 | 10112210122121201220201012 |
4 | 32211103020312323030 |
5 | 112404321241223040 |
6 | 2044211340504352 |
7 | 132254344151120 |
oct | 16452310667314 |
9 | 3483577656635 |
10 | 1002122211020 |
11 | 356aa79544a7 |
12 | 14227484b0b8 |
13 | 73665b622c8 |
14 | 36708235580 |
15 | 1b102c19865 |
hex | e953236ecc |
1002122211020 has 96 divisors (see below), whose sum is σ = 2411235004416. Its totient is φ = 342708537600.
The previous prime is 1002122211011. The next prime is 1002122211023. The reversal of 1002122211020 is 201122212001.
It is a super-2 number, since 2×10021222110202 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is a junction number, because it is equal to n+sod(n) for n = 1002122210986 and 1002122211004.
It is not an unprimeable number, because it can be changed into a prime (1002122211023) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95864114 + ... + 95874566.
It is an arithmetic number, because the mean of its divisors is an integer number (25117031296).
Almost surely, 21002122211020 is an apocalyptic number.
1002122211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1002122211020 is an abundant number, since it is smaller than the sum of its proper divisors (1409112793396).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1002122211020 is a wasteful number, since it uses less digits than its factorization.
1002122211020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12151 (or 12149 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 14.
Adding to 1002122211020 its reverse (201122212001), we get a palindrome (1203244423021).
The spelling of 1002122211020 in words is "one trillion, two billion, one hundred twenty-two million, two hundred eleven thousand, twenty".
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