Base | Representation |
---|---|
bin | 1010100110110001000000… |
… | …01011100010100000001101 |
3 | 10001120120201002001020010222 |
4 | 11103120200023202200031 |
5 | 11024102342323004401 |
6 | 121334024301441125 |
7 | 4624655106526562 |
oct | 523304013424015 |
9 | 101516632036128 |
10 | 23322212313101 |
11 | 7481992929669 |
12 | 27480018701a5 |
13 | 1002376770170 |
14 | 5a8b30302869 |
15 | 2a69e6d54c1b |
hex | 1536202e280d |
23322212313101 has 32 divisors (see below), whose sum is σ = 25972876946016. Its totient is φ = 20804553216000.
The previous prime is 23322212313047. The next prime is 23322212313193. The reversal of 23322212313101 is 10131321222332.
It can be written as a sum of positive squares in 16 ways, for example, as 15951796360900 + 7370415952201 = 3993970^2 + 2714851^2 .
It is a cyclic number.
It is not a de Polignac number, because 23322212313101 - 218 = 23322212050957 is a prime.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23322212363101) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 33316271 + ... + 34009091.
It is an arithmetic number, because the mean of its divisors is an integer number (811652404563).
Almost surely, 223322212313101 is an apocalyptic number.
It is an amenable number.
23322212313101 is a deficient number, since it is larger than the sum of its proper divisors (2650664632915).
23322212313101 is a wasteful number, since it uses less digits than its factorization.
23322212313101 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 693473.
The product of its (nonzero) digits is 2592, while the sum is 26.
Adding to 23322212313101 its reverse (10131321222332), we get a palindrome (33453533535433).
The spelling of 23322212313101 in words is "twenty-three trillion, three hundred twenty-two billion, two hundred twelve million, three hundred thirteen thousand, one hundred one".
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