Base | Representation |
---|---|
bin | 101101010010100100010… |
… | …011111101111011000101 |
3 | 102000112102110000211220100 |
4 | 231102210103331323011 |
5 | 401443004113120401 |
6 | 10341435445154313 |
7 | 440600006114265 |
oct | 55224423757305 |
9 | 12015373024810 |
10 | 3112313020101 |
11 | a9aa1962004a |
12 | 42322b3bb999 |
13 | 19764a2b034c |
14 | aa8cb3777a5 |
15 | 55e59930b86 |
hex | 2d4a44fdec5 |
3112313020101 has 48 divisors (see below), whose sum is σ = 4622250250800. Its totient is φ = 2016785571840.
The previous prime is 3112313020087. The next prime is 3112313020111. The reversal of 3112313020101 is 1010203132113.
3112313020101 is a `hidden beast` number, since 31 + 1 + 231 + 302 + 0 + 101 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 527054220225 + 2585258799876 = 725985^2 + 1607874^2 .
It is not a de Polignac number, because 3112313020101 - 211 = 3112313018053 is a prime.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3112313020111) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 279150675 + ... + 279161823.
It is an arithmetic number, because the mean of its divisors is an integer number (96296880225).
Almost surely, 23112313020101 is an apocalyptic number.
It is an amenable number.
3112313020101 is a deficient number, since it is larger than the sum of its proper divisors (1509937230699).
3112313020101 is a wasteful number, since it uses less digits than its factorization.
3112313020101 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13926 (or 13923 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
Adding to 3112313020101 its reverse (1010203132113), we get a palindrome (4122516152214).
The spelling of 3112313020101 in words is "three trillion, one hundred twelve billion, three hundred thirteen million, twenty thousand, one hundred one".
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