Base | Representation |
---|---|
bin | 10010101010100111… |
… | …00000000101010101 |
3 | 221212101111010201222 |
4 | 21111103200011111 |
5 | 131010401010401 |
6 | 4334215100125 |
7 | 503222013302 |
oct | 112523400525 |
9 | 27771433658 |
10 | 10021110101 |
11 | 4282723382 |
12 | 1b38071645 |
13 | c3919bc62 |
14 | 6b0c9a0a9 |
15 | 3d9b7cc1b |
hex | 2554e0155 |
10021110101 has 2 divisors, whose sum is σ = 10021110102. Its totient is φ = 10021110100.
The previous prime is 10021110091. The next prime is 10021110103. The reversal of 10021110101 is 10101112001.
It is a happy number.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 8565687601 + 1455422500 = 92551^2 + 38150^2 .
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-10021110101 is a prime.
Together with 10021110103, it forms a pair of twin primes.
It is a Chen prime.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (10021110103) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010555050 + 5010555051.
It is an arithmetic number, because the mean of its divisors is an integer number (5010555051).
Almost surely, 210021110101 is an apocalyptic number.
It is an amenable number.
10021110101 is a deficient number, since it is larger than the sum of its proper divisors (1).
10021110101 is an equidigital number, since it uses as much as digits as its factorization.
10021110101 is an evil number, because the sum of its binary digits is even.
The product of its (nonzero) digits is 2, while the sum is 8.
Adding to 10021110101 its reverse (10101112001), we get a palindrome (20122222102).
The spelling of 10021110101 in words is "ten billion, twenty-one million, one hundred ten thousand, one hundred one".
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