Base | Representation |
---|---|
bin | 111000111101001101… |
… | …1100001100100010101 |
3 | 102200201012201021122100 |
4 | 1301322123201210111 |
5 | 4000444124320041 |
6 | 132105002352313 |
7 | 11560014236361 |
oct | 1617233414425 |
9 | 380635637570 |
10 | 122313120021 |
11 | 47966627464 |
12 | 1b8564bb699 |
13 | b6c34a4241 |
14 | 5cc462c2a1 |
15 | 32ad0b96b6 |
hex | 1c7a6e1915 |
122313120021 has 36 divisors (see below), whose sum is σ = 187739561412. Its totient is φ = 76720502784.
The previous prime is 122313120019. The next prime is 122313120031. The reversal of 122313120021 is 120021313221.
It can be written as a sum of positive squares in 6 ways, for example, as 1288451025 + 121024668996 = 35895^2 + 347886^2 .
It is not a de Polignac number, because 122313120021 - 21 = 122313120019 is a prime.
It is a junction number, because it is equal to n+sod(n) for n = 122313119976 and 122313120003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122313120031) 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 35 ways as a sum of consecutive naturals, for example, 11056525 + ... + 11067581.
It is an arithmetic number, because the mean of its divisors is an integer number (5214987817).
Almost surely, 2122313120021 is an apocalyptic number.
It is an amenable number.
122313120021 is a deficient number, since it is larger than the sum of its proper divisors (65426441391).
122313120021 is a wasteful number, since it uses less digits than its factorization.
122313120021 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15350 (or 15330 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 122313120021 its reverse (120021313221), we get a palindrome (242334433242).
The spelling of 122313120021 in words is "one hundred twenty-two billion, three hundred thirteen million, one hundred twenty thousand, twenty-one".
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