Base | Representation |
---|---|
bin | 111011101110010… |
… | …101001100111100 |
3 | 2120211102221021000 |
4 | 323232111030330 |
5 | 4023003014322 |
6 | 243232210300 |
7 | 33554604222 |
oct | 7356251474 |
9 | 2524387230 |
10 | 1002001212 |
11 | 474670383 |
12 | 23b699990 |
13 | 12c78b034 |
14 | 9710cb12 |
15 | 5ce793ac |
hex | 3bb9533c |
1002001212 has 72 divisors (see below), whose sum is σ = 2635367280. Its totient is φ = 329235840.
The previous prime is 1002001211. The next prime is 1002001219. The reversal of 1002001212 is 2121002001.
It is a super-3 number, since 3×10020012123 (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 = 1002001194 and 1002001203.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1002001211) 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, 574662 + ... + 576402.
Almost surely, 21002001212 is an apocalyptic number.
1002001212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1002001212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317683640).
1002001212 is an abundant number, since it is smaller than the sum of its proper divisors (1633366068).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1002001212 is a wasteful number, since it uses less digits than its factorization.
1002001212 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1900 (or 1819 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 1002001212 is about 31654.4027269510. The cubic root of 1002001212 is about 1000.6666261775. Note that the first 4 decimals are identical.
Adding to 1002001212 its reverse (2121002001), we get a palindrome (3123003213).
It can be divided in two parts, 1002001 and 212, that multiplied together give a palindrome (212424212).
The spelling of 1002001212 in words is "one billion, two million, one thousand, two hundred twelve".
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