Base | Representation |
---|---|
bin | 11011110010011011111010… |
… | …100011110011011111011011 |
3 | 121000201110122020221002022000 |
4 | 123302123322203303133123 |
5 | 112004320120000132311 |
6 | 1111531545340532043 |
7 | 34512420050326455 |
oct | 3362337243633733 |
9 | 530643566832260 |
10 | 122213203130331 |
11 | 35a39368091455 |
12 | 118598a2551023 |
13 | 532686a493c61 |
14 | 22272173252d5 |
15 | e1e0a4c81056 |
hex | 6f26fa8f37db |
122213203130331 has 64 divisors (see below), whose sum is σ = 203239490088960. Its totient is φ = 72203502435840.
The previous prime is 122213203130309. The next prime is 122213203130419. The reversal of 122213203130331 is 133031302312221.
122213203130331 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 1 + 320 + 3 + 1 + 3 + 0 + 331 = 666.
It is not a de Polignac number, because 122213203130331 - 29 = 122213203129819 is a prime.
It is a super-2 number, since 2×1222132031303312 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 122213203130295 and 122213203130304.
It is not an unprimeable number, because it can be changed into a prime (122213203130531) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (31) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115541401 + ... + 116594346.
It is an arithmetic number, because the mean of its divisors is an integer number (3175617032640).
Almost surely, 2122213203130331 is an apocalyptic number.
122213203130331 is a deficient number, since it is larger than the sum of its proper divisors (81026286958629).
122213203130331 is a wasteful number, since it uses less digits than its factorization.
122213203130331 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 232135841 (or 232135835 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 27.
Adding to 122213203130331 its reverse (133031302312221), we get a palindrome (255244505442552).
The spelling of 122213203130331 in words is "one hundred twenty-two trillion, two hundred thirteen billion, two hundred three million, one hundred thirty thousand, three hundred thirty-one".
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