Base | Representation |
---|---|
bin | 1110100011100… |
… | …01110111011101 |
3 | 22111202101101011 |
4 | 13101301313131 |
5 | 222224214323 |
6 | 20041015221 |
7 | 3011562133 |
oct | 721616735 |
9 | 274671334 |
10 | 122101213 |
11 | 62a174a3 |
12 | 34a84511 |
13 | 1c3b1450 |
14 | 12305753 |
15 | aabd20d |
hex | 7471ddd |
122101213 has 8 divisors (see below), whose sum is σ = 131580288. Its totient is φ = 112634544.
The previous prime is 122101211. The next prime is 122101249. The reversal of 122101213 is 312101221.
It is a sphenic number, since it is the product of 3 distinct primes.
It is a cyclic number.
It is not a de Polignac number, because 122101213 - 21 = 122101211 is a prime.
It is a super-3 number, since 3×1221012133 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (13).
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 122101193 and 122101202.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122101211) 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 7 ways as a sum of consecutive naturals, for example, 32856 + ... + 36382.
It is an arithmetic number, because the mean of its divisors is an integer number (16447536).
Almost surely, 2122101213 is an apocalyptic number.
122101213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.
It is an amenable number.
122101213 is a deficient number, since it is larger than the sum of its proper divisors (9479075).
122101213 is a wasteful number, since it uses less digits than its factorization.
122101213 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6203.
The product of its (nonzero) digits is 24, while the sum is 13.
The square root of 122101213 is about 11049.9417645524. The cubic root of 122101213 is about 496.1046824769.
Adding to 122101213 its reverse (312101221), we get a palindrome (434202434).
It can be divided in two parts, 1221012 and 13, that added together give a square (1221025 = 11052).
The spelling of 122101213 in words is "one hundred twenty-two million, one hundred one thousand, two hundred thirteen".
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