Base | Representation |
---|---|
bin | 11101010010001101110… |
… | …000111110111101110001 |
3 | 21010101102020010212200101 |
4 | 131102031300332331301 |
5 | 230432420304412201 |
6 | 4140254443352401 |
7 | 265251502210000 |
oct | 35221560767561 |
9 | 7111366125611 |
10 | 2012423122801 |
11 | 706511430923 |
12 | 286030522701 |
13 | 117a03275100 |
14 | 6d58a770c37 |
15 | 3753397cd01 |
hex | 1d48dc3ef71 |
2012423122801 has 135 divisors (see below), whose sum is σ = 2721278030433. Its totient is φ = 1487145703680.
The previous prime is 2012423122783. The next prime is 2012423122819. The reversal of 2012423122801 is 1082213242102.
The square root of 2012423122801 is 1418599.
It is a perfect power (a square), and thus also a powerful number.
It is an interprime number because it is at equal distance from previous prime (2012423122783) and next prime (2012423122819).
It can be written as a sum of positive squares in 4 ways, for example, as 18170770401 + 1994252352400 = 134799^2 + 1412180^2 .
It is not a de Polignac number, because 2012423122801 - 27 = 2012423122673 is a prime.
It is a Duffinian number.
It is a self number, because there is not a number n which added to its sum of digits gives 2012423122801.
It is not an unprimeable number, because it can be changed into a prime (2012423123801) by changing a digit.
It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 15362008506 + ... + 15362008636.
Almost surely, 22012423122801 is an apocalyptic number.
2012423122801 is the 1418599-th square number.
2012423122801 is the 709300-th centered octagonal number.
It is an amenable number.
2012423122801 is a deficient number, since it is larger than the sum of its proper divisors (708854907632).
2012423122801 is an frugal number, since it uses more digits than its factorization.
2012423122801 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 350 (or 168 counting only the distinct ones).
The product of its (nonzero) digits is 3072, while the sum is 28.
Adding to 2012423122801 its reverse (1082213242102), we get a palindrome (3094636364903).
The spelling of 2012423122801 in words is "two trillion, twelve billion, four hundred twenty-three million, one hundred twenty-two thousand, eight hundred one".
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