Base | Representation |
---|---|
bin | 101110101000001011… |
… | …0011010110110001110 |
3 | 100120110101120222210000 |
4 | 1131100112122312032 |
5 | 3120032332132342 |
6 | 114000010425130 |
7 | 10143241345161 |
oct | 1352026326616 |
9 | 316411528700 |
10 | 100132302222 |
11 | 3951408a787 |
12 | 174a61321a6 |
13 | 959a053094 |
14 | 4bbc85dad8 |
15 | 2910b7044c |
hex | 175059ad8e |
100132302222 has 40 divisors (see below), whose sum is σ = 226548921456. Its totient is φ = 33053375808.
The previous prime is 100132302199. The next prime is 100132302223. The reversal of 100132302222 is 222203231001.
100132302222 is a `hidden beast` number, since 10 + 0 + 132 + 302 + 222 = 666.
It is a super-2 number, since 2×1001323022222 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 100132302195 and 100132302204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100132302223) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2983803 + ... + 3017174.
Almost surely, 2100132302222 is an apocalyptic number.
100132302222 is an abundant number, since it is smaller than the sum of its proper divisors (126416619234).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100132302222 is a wasteful number, since it uses less digits than its factorization.
100132302222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6001094 (or 6001085 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 100132302222 its reverse (222203231001), we get a palindrome (322335533223).
The spelling of 100132302222 in words is "one hundred billion, one hundred thirty-two million, three hundred two thousand, two hundred twenty-two".
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