Base | Representation |
---|---|
bin | 10011000101000101101… |
… | …000010110111110001001 |
3 | 11122100021010111021211100 |
4 | 103011011220112332021 |
5 | 132440200101424113 |
6 | 2442154251252013 |
7 | 163504050411621 |
oct | 23050550267611 |
9 | 4570233437740 |
10 | 1311133233033 |
11 | 46605958aa28 |
12 | 192133a4a009 |
13 | 968407cccb0 |
14 | 4766001b881 |
15 | 2418b530d73 |
hex | 13145a16f89 |
1311133233033 has 24 divisors (see below), whose sum is σ = 2039582268360. Its totient is φ = 806834730240.
The previous prime is 1311133233023. The next prime is 1311133233061. The reversal of 1311133233033 is 3303323311131.
1311133233033 is a `hidden beast` number, since 1 + 31 + 1 + 1 + 3 + 323 + 303 + 3 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 38776304889 + 1272356928144 = 196917^2 + 1127988^2 .
It is not a de Polignac number, because 1311133233033 - 24 = 1311133233017 is a prime.
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 1311133232988 and 1311133233006.
It is not an unprimeable number, because it can be changed into a prime (1311133233023) 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 23 ways as a sum of consecutive naturals, for example, 8209303 + ... + 8367491.
It is an arithmetic number, because the mean of its divisors is an integer number (84982594515).
Almost surely, 21311133233033 is an apocalyptic number.
1311133233033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.
It is an amenable number.
1311133233033 is a deficient number, since it is larger than the sum of its proper divisors (728449035327).
1311133233033 is a wasteful number, since it uses less digits than its factorization.
1311133233033 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 229049 (or 229046 counting only the distinct ones).
The product of its (nonzero) digits is 4374, while the sum is 27.
Adding to 1311133233033 its reverse (3303323311131), we get a palindrome (4614456544164).
The spelling of 1311133233033 in words is "one trillion, three hundred eleven billion, one hundred thirty-three million, two hundred thirty-three thousand, thirty-three".
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