Base | Representation |
---|---|
bin | 1011101100110101000… |
… | …0101111010100010100 |
3 | 201012211212221102201020 |
4 | 2323031100233110110 |
5 | 11243133111304022 |
6 | 232202125201140 |
7 | 20344161422232 |
oct | 2731520572424 |
9 | 635755842636 |
10 | 201012213012 |
11 | 78281176886 |
12 | 32b5a7001b0 |
13 | 15c55c442a0 |
14 | 9a2c6cb952 |
15 | 536726935c |
hex | 2ecd42f514 |
201012213012 has 96 divisors (see below), whose sum is σ = 516279052800. Its totient is φ = 60484150272.
The previous prime is 201012212927. The next prime is 201012213013. The reversal of 201012213012 is 210312210102.
201012213012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2010122130122 (a number of 23 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 201012212982 and 201012213000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (201012213013) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9440314 + ... + 9461582.
It is an arithmetic number, because the mean of its divisors is an integer number (5377906800).
Almost surely, 2201012213012 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 201012213012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258139526400).
201012213012 is an abundant number, since it is smaller than the sum of its proper divisors (315266839788).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201012213012 is a wasteful number, since it uses less digits than its factorization.
201012213012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22625 (or 22623 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
Adding to 201012213012 its reverse (210312210102), we get a palindrome (411324423114).
The spelling of 201012213012 in words is "two hundred one billion, twelve million, two hundred thirteen thousand, twelve".
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