Base | Representation |
---|---|
bin | 111011111001111… |
… | …1011100011111100 |
3 | 12012002100202120200 |
4 | 1313303323203330 |
5 | 13104041231022 |
6 | 531243243500 |
7 | 100545404502 |
oct | 16763734374 |
9 | 5162322520 |
10 | 2010102012 |
11 | 941717436 |
12 | 481219590 |
13 | 2605a3499 |
14 | 150d68672 |
15 | bb70abac |
hex | 77cfb8fc |
2010102012 has 72 divisors (see below), whose sum is σ = 5235550320. Its totient is φ = 649969920.
The previous prime is 2010102001. The next prime is 2010102019. The reversal of 2010102012 is 2102010102.
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 = 2010101985 and 2010102003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2010102019) 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, 154039 + ... + 166577.
Almost surely, 22010102012 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2010102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617775160).
2010102012 is an abundant number, since it is smaller than the sum of its proper divisors (3225448308).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2010102012 is a wasteful number, since it uses less digits than its factorization.
2010102012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12683 (or 12678 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 2010102012 is about 44834.1612166437. The cubic root of 2010102012 is about 1262.0387779288.
Adding to 2010102012 its reverse (2102010102), we get a palindrome (4112112114).
The spelling of 2010102012 in words is "two billion, ten million, one hundred two thousand, twelve".
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