Base | Representation |
---|---|
bin | 10010101010100000… |
… | …00100011000011001 |
3 | 221212022210102022100 |
4 | 21111100010120121 |
5 | 131010133211301 |
6 | 4334143514013 |
7 | 503211244551 |
oct | 112520043031 |
9 | 27768712270 |
10 | 10020210201 |
11 | 4282169261 |
12 | 1b378b8909 |
13 | c38c45481 |
14 | 6b0b04161 |
15 | 3d9a51286 |
hex | 255404619 |
10020210201 has 27 divisors (see below), whose sum is σ = 14741749503. Its totient is φ = 6558617520.
The previous prime is 10020210127. The next prime is 10020210203. The reversal of 10020210201 is 10201202001.
The square root of 10020210201 is 100101.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 325838601 + 9694371600 = 18051^2 + 98460^2 .
It is not a de Polignac number, because 10020210201 - 213 = 10020202009 is a prime.
It is a super-2 number, since 2×100202102012 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (10020210203) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18318210 + ... + 18318756.
Almost surely, 210020210201 is an apocalyptic number.
10020210201 is the 100101-st square number.
10020210201 is the 50051-st centered octagonal number.
It is an amenable number.
10020210201 is a deficient number, since it is larger than the sum of its proper divisors (4721539302).
10020210201 is an frugal number, since it uses more digits than its factorization.
10020210201 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1222 (or 611 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 10020210201 its reverse (10201202001), we get a palindrome (20221412202).
The spelling of 10020210201 in words is "ten billion, twenty million, two hundred ten thousand, two hundred one".
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