Base | Representation |
---|---|
bin | 101110000001100000110101… |
… | …101110100010111110010100 |
3 | 222112200121020001112201001120 |
4 | 232001200311232202332110 |
5 | 203012323104222321322 |
6 | 1554255432453523540 |
7 | 60430636406624040 |
oct | 5601406556427624 |
9 | 875617201481046 |
10 | 202414120120212 |
11 | 5954a389978870 |
12 | 1a8512673435b0 |
13 | 88c3753609cb0 |
14 | 37dac77a9b020 |
15 | 18603c83c4a5c |
hex | b81835ba2f94 |
202414120120212 has 192 divisors, whose sum is σ = 634201706256384. Its totient is φ = 48525871080960.
The previous prime is 202414120120133. The next prime is 202414120120357. The reversal of 202414120120212 is 212021021414202.
202414120120212 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2024141201202122 (a number of 29 digits) contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116700558 + ... + 118422330.
It is an arithmetic number, because the mean of its divisors is an integer number (3303133886752).
Almost surely, 2202414120120212 is an apocalyptic number.
202414120120212 is a gapful number since it is divisible by the number (22) 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 202414120120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317100853128192).
202414120120212 is an abundant number, since it is smaller than the sum of its proper divisors (431787586136172).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202414120120212 is a wasteful number, since it uses less digits than its factorization.
202414120120212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1731598 (or 1731596 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 24.
Adding to 202414120120212 its reverse (212021021414202), we get a palindrome (414435141534414).
The spelling of 202414120120212 in words is "two hundred two trillion, four hundred fourteen billion, one hundred twenty million, one hundred twenty thousand, two hundred twelve".
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