Base | Representation |
---|---|
bin | 11110100100000101100… |
… | …111110100011100010001 |
3 | 21102210022211201020002100 |
4 | 132210011213310130101 |
5 | 233402440313112431 |
6 | 4244514012311013 |
7 | 304513134520464 |
oct | 36440547643421 |
9 | 7383284636070 |
10 | 2100333332241 |
11 | 73a823457381 |
12 | 29b085472469 |
13 | 1230a3142511 |
14 | 73929cbd2db |
15 | 3997b60c4e6 |
hex | 1e9059f4711 |
2100333332241 has 24 divisors (see below), whose sum is σ = 3091164771240. Its totient is φ = 1373754859776.
The previous prime is 2100333332219. The next prime is 2100333332261. The reversal of 2100333332241 is 1422333330012.
2100333332241 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 3 + 333 + 322 + 4 + 1 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 2861822016 + 2097471510225 = 53496^2 + 1448265^2 .
It is not a de Polignac number, because 2100333332241 - 213 = 2100333324049 is a prime.
It is a super-2 number, since 2×21003333322412 (a number of 25 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (2100333332261) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18018775 + ... + 18134963.
It is an arithmetic number, because the mean of its divisors is an integer number (128798532135).
Almost surely, 22100333332241 is an apocalyptic number.
It is an amenable number.
2100333332241 is a deficient number, since it is larger than the sum of its proper divisors (990831438999).
2100333332241 is a wasteful number, since it uses less digits than its factorization.
2100333332241 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 154145 (or 154142 counting only the distinct ones).
The product of its (nonzero) digits is 7776, while the sum is 27.
Adding to 2100333332241 its reverse (1422333330012), we get a palindrome (3522666662253).
The spelling of 2100333332241 in words is "two trillion, one hundred billion, three hundred thirty-three million, three hundred thirty-two thousand, two hundred forty-one".
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