Base | Representation |
---|---|
bin | 10010110100010001… |
… | …10101111010011100 |
3 | 222002001002000221002 |
4 | 21122020311322130 |
5 | 131142130431022 |
6 | 4350233125432 |
7 | 505225205000 |
oct | 113210657234 |
9 | 28061060832 |
10 | 10102202012 |
11 | 431447a991 |
12 | 1b5b259878 |
13 | c4cc22336 |
14 | 6bb968700 |
15 | 3e1d4a092 |
hex | 25a235e9c |
10102202012 has 48 divisors (see below), whose sum is σ = 20673945600. Its totient is φ = 4317502896.
The previous prime is 10102201987. The next prime is 10102202029. The reversal of 10102202012 is 21020220101.
It is a happy number.
10102202012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a junction number, because it is equal to n+sod(n) for n = 10102201984 and 10102202002.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 493493 + ... + 513555.
It is an arithmetic number, because the mean of its divisors is an integer number (430707200).
Almost surely, 210102202012 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 10102202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10336972800).
10102202012 is an abundant number, since it is smaller than the sum of its proper divisors (10571743588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10102202012 is a wasteful number, since it uses less digits than its factorization.
10102202012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20455 (or 20439 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 11.
Adding to 10102202012 its reverse (21020220101), we get a palindrome (31122422113).
It can be divided in two parts, 1010 and 2202012, that added together give a palindrome (2203022).
The spelling of 10102202012 in words is "ten billion, one hundred two million, two hundred two thousand, twelve".
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