Base | Representation |
---|---|
bin | 1011111101100… |
… | …01110101100110 |
3 | 20222210221220200 |
4 | 11332301311212 |
5 | 201141440032 |
6 | 13542411330 |
7 | 2325621414 |
oct | 576616546 |
9 | 228727820 |
10 | 100343142 |
11 | 51706319 |
12 | 29730b46 |
13 | 17a33a53 |
14 | d4802b4 |
15 | 8c2147c |
hex | 5fb1d66 |
100343142 has 48 divisors (see below), whose sum is σ = 230259120. Its totient is φ = 31492800.
The previous prime is 100343141. The next prime is 100343143. The reversal of 100343142 is 241343001.
It is an interprime number because it is at equal distance from previous prime (100343141) and next prime (100343143).
It is a super-2 number, since 2×1003431422 = 20137492292864328, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100343141) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61092 + ... + 62712.
It is an arithmetic number, because the mean of its divisors is an integer number (4797065).
Almost surely, 2100343142 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 100343142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115129560).
100343142 is an abundant number, since it is smaller than the sum of its proper divisors (129915978).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100343142 is a wasteful number, since it uses less digits than its factorization.
100343142 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1829 (or 1826 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 100343142 is about 10017.1424068943. The cubic root of 100343142 is about 464.6891852853.
Adding to 100343142 its reverse (241343001), we get a palindrome (341686143).
The spelling of 100343142 in words is "one hundred million, three hundred forty-three thousand, one hundred forty-two".
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