Base | Representation |
---|---|
bin | 1100001011110… |
… | …01100111100101 |
3 | 21010022210210100 |
4 | 12011321213211 |
5 | 202131210041 |
6 | 14050414313 |
7 | 2350525254 |
oct | 605714745 |
9 | 233283710 |
10 | 102210021 |
11 | 527709a1 |
12 | 2a291399 |
13 | 18238704 |
14 | d80879b |
15 | 8e8e6b6 |
hex | 61799e5 |
102210021 has 24 divisors (see below), whose sum is σ = 152515584. Its totient is φ = 65910240.
The previous prime is 102210019. The next prime is 102210029. The reversal of 102210021 is 120012201.
It is not a de Polignac number, because 102210021 - 21 = 102210019 is a prime.
It is a super-3 number, since 3×1022100213 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 102209985 and 102210012.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102210029) 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, 62800 + ... + 64406.
It is an arithmetic number, because the mean of its divisors is an integer number (6354816).
Almost surely, 2102210021 is an apocalyptic number.
It is an amenable number.
102210021 is a deficient number, since it is larger than the sum of its proper divisors (50305563).
102210021 is a wasteful number, since it uses less digits than its factorization.
102210021 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1841 (or 1838 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 102210021 is about 10109.8971804861. The cubic root of 102210021 is about 467.5533350648.
Adding to 102210021 its reverse (120012201), we get a palindrome (222222222).
It can be divided in two parts, 1022100 and 21, that added together give a square (1022121 = 10112).
The spelling of 102210021 in words is "one hundred two million, two hundred ten thousand, twenty-one".
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