Base | Representation |
---|---|
bin | 10010100000001… |
… | …010011001101100 |
3 | 210122010000200210 |
4 | 102200022121230 |
5 | 1113431433400 |
6 | 50445222420 |
7 | 10456351533 |
oct | 2240123154 |
9 | 718100623 |
10 | 310421100 |
11 | 14a251a70 |
12 | 87b61a10 |
13 | 4c409232 |
14 | 2d32731a |
15 | 1c3bb950 |
hex | 1280a66c |
310421100 has 144 divisors (see below), whose sum is σ = 989936640. Its totient is φ = 74476800.
The previous prime is 310421093. The next prime is 310421101. The reversal of 310421100 is 1124013.
It is a happy number.
It is a super-2 number, since 2×3104211002 = 192722518650420000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (310421101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359269 + ... + 360131.
It is an arithmetic number, because the mean of its divisors is an integer number (6874560).
Almost surely, 2310421100 is an apocalyptic number.
310421100 is a gapful number since it is divisible by the number (30) 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 310421100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494968320).
310421100 is an abundant number, since it is smaller than the sum of its proper divisors (679515540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
310421100 is a wasteful number, since it uses less digits than its factorization.
310421100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1000 (or 993 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 310421100 is about 17618.7712397885. The cubic root of 310421100 is about 677.0962541334.
Adding to 310421100 its reverse (1124013), we get a palindrome (311545113).
The spelling of 310421100 in words is "three hundred ten million, four hundred twenty-one thousand, one hundred".
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