Base | Representation |
---|---|
bin | 111100010101010… |
… | …010100100000000 |
3 | 2121112122210121000 |
4 | 330111102210000 |
5 | 4033111322031 |
6 | 244235132000 |
7 | 34040451162 |
oct | 7425224400 |
9 | 2545583530 |
10 | 1012214016 |
11 | 47a406410 |
12 | 242ba4000 |
13 | 131925708 |
14 | 9860a932 |
15 | 5dce53e6 |
hex | 3c552900 |
1012214016 has 144 divisors (see below), whose sum is σ = 3265657920. Its totient is φ = 306708480.
The previous prime is 1012214009. The next prime is 1012214041. The reversal of 1012214016 is 6104122101.
It is a tau number, because it is divible by the number of its divisors (144).
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a self number, because there is not a number n which added to its sum of digits gives 1012214016.
It is an unprimeable number.
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, 69376 + ... + 82688.
It is an arithmetic number, because the mean of its divisors is an integer number (22678180).
Almost surely, 21012214016 is an apocalyptic number.
1012214016 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 1012214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1632828960).
1012214016 is an abundant number, since it is smaller than the sum of its proper divisors (2253443904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1012214016 is a wasteful number, since it uses less digits than its factorization.
1012214016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13349 (or 13329 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
The square root of 1012214016 is about 31815.3110310115. The cubic root of 1012214016 is about 1004.0548744365.
Adding to 1012214016 its reverse (6104122101), we get a palindrome (7116336117).
The spelling of 1012214016 in words is "one billion, twelve million, two hundred fourteen thousand, sixteen".
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