Base | Representation |
---|---|
bin | 10001101000110001000… |
… | …000100010011011111010 |
3 | 11021212101120110210110000 |
4 | 101220301000202123322 |
5 | 124324140232031411 |
6 | 2324441514333430 |
7 | 153364364352201 |
oct | 21506100423372 |
9 | 4255346423400 |
10 | 1212003002106 |
11 | 42800a109246 |
12 | 176a8942a276 |
13 | 8a3a3260b10 |
14 | 429386c8238 |
15 | 217d8850956 |
hex | 11a310226fa |
1212003002106 has 80 divisors (see below), whose sum is σ = 2929173181704. Its totient is φ = 372352484736.
The previous prime is 1212003002083. The next prime is 1212003002107. The reversal of 1212003002106 is 6012003002121.
It can be written as a sum of positive squares in 4 ways, for example, as 572202986481 + 639800015625 = 756441^2 + 799875^2 .
It is a super-2 number, since 2×12120030021062 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (1212003002107) 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 39 ways as a sum of consecutive naturals, for example, 934560 + ... + 1815876.
Almost surely, 21212003002106 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1212003002106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1464586590852).
1212003002106 is an abundant number, since it is smaller than the sum of its proper divisors (1717170179598).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1212003002106 is a wasteful number, since it uses less digits than its factorization.
1212003002106 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 881997 (or 881988 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 1212003002106 its reverse (6012003002121), we get a palindrome (7224006004227).
The spelling of 1212003002106 in words is "one trillion, two hundred twelve billion, three million, two thousand, one hundred six".
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