Base | Representation |
---|---|
bin | 100110100010… |
… | …011010000001 |
3 | 201000020220000 |
4 | 212202122001 |
5 | 10041234101 |
6 | 1000310213 |
7 | 151604031 |
oct | 46423201 |
9 | 21006800 |
10 | 10102401 |
11 | 57800a1 |
12 | 3472369 |
13 | 212936a |
14 | 14ad8c1 |
15 | d48486 |
hex | 9a2681 |
10102401 has 10 divisors (see below), whose sum is σ = 15091362. Its totient is φ = 6734880.
The previous prime is 10102387. The next prime is 10102423. The reversal of 10102401 is 10420101.
It is a happy number.
It can be written as a sum of positive squares in only one way, i.e., 5475600 + 4626801 = 2340^2 + 2151^2 .
It is a de Polignac number, because none of the positive numbers 2k-10102401 is a prime.
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 (10102481) by changing a digit.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 62280 + ... + 62441.
Almost surely, 210102401 is an apocalyptic number.
It is an amenable number.
10102401 is a deficient number, since it is larger than the sum of its proper divisors (4988961).
10102401 is an equidigital number, since it uses as much as digits as its factorization.
10102401 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 124733 (or 124724 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 10102401 is about 3178.4274413615. The cubic root of 10102401 is about 216.1763605948.
Adding to 10102401 its reverse (10420101), we get a palindrome (20522502).
The spelling of 10102401 in words is "ten million, one hundred two thousand, four hundred one".
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