Base | Representation |
---|---|
bin | 100011110100101… |
… | …0001000010010000 |
3 | 10002202202221001010 |
4 | 1013221101002100 |
5 | 4430203000031 |
6 | 315135010520 |
7 | 41533555140 |
oct | 10751210220 |
9 | 3082687033 |
10 | 1202000016 |
11 | 567552448 |
12 | 296669a40 |
13 | 162044919 |
14 | b58d0920 |
15 | 707d3246 |
hex | 47a51090 |
1202000016 has 80 divisors (see below), whose sum is σ = 3558502400. Its totient is φ = 342486144.
The previous prime is 1201999973. The next prime is 1202000017. The reversal of 1202000016 is 6100002021.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 1201999965 and 1202000010.
It is not an unprimeable number, because it can be changed into a prime (1202000017) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122625 + ... + 132063.
It is an arithmetic number, because the mean of its divisors is an integer number (44481280).
Almost surely, 21202000016 is an apocalyptic number.
1202000016 is a gapful number since it is divisible by the number (16) 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 1202000016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1779251200).
1202000016 is an abundant number, since it is smaller than the sum of its proper divisors (2356502384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1202000016 is a wasteful number, since it uses less digits than its factorization.
1202000016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9836 (or 9830 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 1202000016 is about 34669.8718774673. The cubic root of 1202000016 is about 1063.2486120944.
Adding to 1202000016 its reverse (6100002021), we get a palindrome (7302002037).
The spelling of 1202000016 in words is "one billion, two hundred two million, sixteen", and thus it is an aban number.
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