Base | Representation |
---|---|
bin | 100001101000100100111… |
… | …100110101001001000011 |
3 | 22011221220022220211222200 |
4 | 201220210330311021003 |
5 | 300332031424100311 |
6 | 4525445140404243 |
7 | 325662321442263 |
oct | 41504474651103 |
9 | 8157808824880 |
10 | 2311312331331 |
11 | 811249612043 |
12 | 313b459a6683 |
13 | 139c56c15153 |
14 | 7dc221657a3 |
15 | 401c8873556 |
hex | 21a24f35243 |
2311312331331 has 48 divisors (see below), whose sum is σ = 3478766653440. Its totient is φ = 1477158120000.
The previous prime is 2311312331329. The next prime is 2311312331333. The reversal of 2311312331331 is 1331332131132.
2311312331331 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 312 + 3 + 313 + 31 = 666.
It is an interprime number because it is at equal distance from previous prime (2311312331329) and next prime (2311312331333).
It is not a de Polignac number, because 2311312331331 - 21 = 2311312331329 is a prime.
It is a super-3 number, since 3×23113123313313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 2311312331295 and 2311312331304.
It is not an unprimeable number, because it can be changed into a prime (2311312331333) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15047901 + ... + 15200721.
It is an arithmetic number, because the mean of its divisors is an integer number (72474305280).
Almost surely, 22311312331331 is an apocalyptic number.
2311312331331 is a deficient number, since it is larger than the sum of its proper divisors (1167454322109).
2311312331331 is a wasteful number, since it uses less digits than its factorization.
2311312331331 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 153368 (or 153365 counting only the distinct ones).
The product of its digits is 2916, while the sum is 27.
Adding to 2311312331331 its reverse (1331332131132), we get a palindrome (3642644462463).
The spelling of 2311312331331 in words is "two trillion, three hundred eleven billion, three hundred twelve million, three hundred thirty-one thousand, three hundred thirty-one".
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