Base | Representation |
---|---|
bin | 1011111100100… |
… | …11110011000100 |
3 | 20222120201010120 |
4 | 11332103303010 |
5 | 201124020400 |
6 | 13540021540 |
7 | 2324566611 |
oct | 576236304 |
9 | 228521116 |
10 | 100220100 |
11 | 51631932 |
12 | 296918b0 |
13 | 179bca46 |
14 | d44b508 |
15 | 8be9ca0 |
hex | 5f93cc4 |
100220100 has 144 divisors (see below), whose sum is σ = 314854848. Its totient is φ = 24514560.
The previous prime is 100220089. The next prime is 100220101. The reversal of 100220100 is 1022001.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is not an unprimeable number, because it can be changed into a prime (100220101) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219072 + ... + 219528.
It is an arithmetic number, because the mean of its divisors is an integer number (2186492).
Almost surely, 2100220100 is an apocalyptic number.
100220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 100220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157427424).
100220100 is an abundant number, since it is smaller than the sum of its proper divisors (214634748).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100220100 is a wasteful number, since it uses less digits than its factorization.
100220100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 534 (or 527 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
The square root of 100220100 is about 10010.9989511537. The cubic root of 100220100 is about 464.4991717258.
Adding to 100220100 its reverse (1022001), we get a palindrome (101242101).
The spelling of 100220100 in words is "one hundred million, two hundred twenty thousand, one hundred".
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