Base | Representation |
---|---|
bin | 10010100010011… |
… | …010010001110100 |
3 | 210200012222002110 |
4 | 102202122101310 |
5 | 1114104313140 |
6 | 50510011020 |
7 | 10464354630 |
oct | 2242322164 |
9 | 720188073 |
10 | 311010420 |
11 | 14a614806 |
12 | 881a6a70 |
13 | 4c584546 |
14 | 2d43bdc0 |
15 | 1c486380 |
hex | 1289a474 |
311010420 has 96 divisors (see below), whose sum is σ = 1019563776. Its totient is φ = 69350400.
The previous prime is 311010409. The next prime is 311010431. The reversal of 311010420 is 24010113.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (311010409) and next prime (311010431).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a junction number, because it is equal to n+sod(n) for n = 311010396 and 311010405.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8190 + ... + 26250.
It is an arithmetic number, because the mean of its divisors is an integer number (10620456).
Almost surely, 2311010420 is an apocalyptic number.
311010420 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 311010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509781888).
311010420 is an abundant number, since it is smaller than the sum of its proper divisors (708553356).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
311010420 is a wasteful number, since it uses less digits than its factorization.
311010420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 18121 (or 18119 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 311010420 is about 17635.4875180699. The cubic root of 311010420 is about 677.5244618374.
Adding to 311010420 its reverse (24010113), we get a palindrome (335020533).
It can be divided in two parts, 3110 and 10420, that added together give a triangular number (13530 = T164).
The spelling of 311010420 in words is "three hundred eleven million, ten thousand, four hundred twenty".
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