Base | Representation |
---|---|
bin | 101111001010111111… |
… | …0000011011100000001 |
3 | 100200110210102102221202 |
4 | 1132111332003130001 |
5 | 3124430340220001 |
6 | 114311533230545 |
7 | 10214213340626 |
oct | 1362576033401 |
9 | 320423372852 |
10 | 101300320001 |
11 | 39a63431831 |
12 | 17771332455 |
13 | 972502a26a |
14 | 4c8da2634d |
15 | 297d48e96b |
hex | 1795f83701 |
101300320001 has 8 divisors (see below), whose sum is σ = 107270221320. Its totient is φ = 95331647488.
The previous prime is 101300319961. The next prime is 101300320013. The reversal of 101300320001 is 100023003101.
It can be written as a sum of positive squares in 4 ways, for example, as 12601185025 + 88699134976 = 112255^2 + 297824^2 .
It is a sphenic number, since it is the product of 3 distinct primes.
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-101300320001 is a prime.
It is a super-3 number, since 3×1013003200013 (a number of 34 digits) contains 333 as substring.
It is a Duffinian number.
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (101300320021) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134696 + ... + 469833.
It is an arithmetic number, because the mean of its divisors is an integer number (13408777665).
Almost surely, 2101300320001 is an apocalyptic number.
It is an amenable number.
101300320001 is a deficient number, since it is larger than the sum of its proper divisors (5969901319).
101300320001 is an equidigital number, since it uses as much as digits as its factorization.
101300320001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 614403.
The product of its (nonzero) digits is 18, while the sum is 11.
Adding to 101300320001 its reverse (100023003101), we get a palindrome (201323323102).
The spelling of 101300320001 in words is "one hundred one billion, three hundred million, three hundred twenty thousand, one".
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