Base | Representation |
---|---|
bin | 1010100110110010011111… |
… | …01110110110111101101101 |
3 | 10001120122202200020001112200 |
4 | 11103121033232312331231 |
5 | 11024111011041213401 |
6 | 121334235401052113 |
7 | 4625013634601244 |
oct | 523311756667555 |
9 | 101518680201480 |
10 | 23323010101101 |
11 | 7482262199597 |
12 | 27481a4a87039 |
13 | 1002472b2a279 |
14 | 5a8ba825395b |
15 | 2a6a41de1686 |
hex | 15364fbb6f6d |
23323010101101 has 12 divisors (see below), whose sum is σ = 35670486037212. Its totient is φ = 14634045553536.
The previous prime is 23323010101099. The next prime is 23323010101129. The reversal of 23323010101101 is 10110101032332.
23323010101101 is a `hidden beast` number, since 233 + 230 + 1 + 0 + 101 + 101 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 17787930445476 + 5535079655625 = 4217574^2 + 2352675^2 .
It is not a de Polignac number, because 23323010101101 - 21 = 23323010101099 is a prime.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23323010101201) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (29) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76218987106 + ... + 76218987411.
It is an arithmetic number, because the mean of its divisors is an integer number (2972540503101).
Almost surely, 223323010101101 is an apocalyptic number.
It is an amenable number.
23323010101101 is a deficient number, since it is larger than the sum of its proper divisors (12347475936111).
23323010101101 is a wasteful number, since it uses less digits than its factorization.
23323010101101 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 152437974540 (or 152437974537 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
Adding to 23323010101101 its reverse (10110101032332), we get a palindrome (33433111133433).
The spelling of 23323010101101 in words is "twenty-three trillion, three hundred twenty-three billion, ten million, one hundred one thousand, one hundred one".
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