Base | Representation |
---|---|
bin | 111011101010100… |
… | …101101100110100 |
3 | 2120202121002120200 |
4 | 323222211230310 |
5 | 4022230121322 |
6 | 243155200500 |
7 | 33543350163 |
oct | 7352455464 |
9 | 2522532520 |
10 | 1001020212 |
11 | 474060335 |
12 | 23b2a6130 |
13 | 12c50666a |
14 | 96d353da |
15 | 5cd338ac |
hex | 3baa5b34 |
1001020212 has 72 divisors (see below), whose sum is σ = 2572771656. Its totient is φ = 328126464.
The previous prime is 1001020171. The next prime is 1001020213. The reversal of 1001020212 is 2120201001.
It can be written as a sum of positive squares in 4 ways, for example, as 242238096 + 758782116 = 15564^2 + 27546^2 .
It is a super-3 number, since 3×10010202123 (a number of 28 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 1001020194 and 1001020203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1001020213) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 603288 + ... + 604944.
Almost surely, 21001020212 is an apocalyptic number.
1001020212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
1001020212 is an abundant number, since it is smaller than the sum of its proper divisors (1571751444).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001020212 is a wasteful number, since it uses less digits than its factorization.
1001020212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1937 (or 1932 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 1001020212 is about 31638.9034576105. The cubic root of 1001020212 is about 1000.3399550841.
Adding to 1001020212 its reverse (2120201001), we get a palindrome (3121221213).
The spelling of 1001020212 in words is "one billion, one million, twenty thousand, two hundred twelve".
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