Base | Representation |
---|---|
bin | 11100110111111100… |
… | …001111011111010010 |
3 | 2222000200012100000000 |
4 | 130313330033133102 |
5 | 1001443321410114 |
6 | 22124232310430 |
7 | 2145201533664 |
oct | 346774173722 |
9 | 88020170000 |
10 | 31003310034 |
11 | 1216a618784 |
12 | 6012b42416 |
13 | 2c011c0a88 |
14 | 17017b8534 |
15 | c16c60e09 |
hex | 737f0f7d2 |
31003310034 has 72 divisors (see below), whose sum is σ = 70220337408. Its totient is φ = 10265340600.
The previous prime is 31003310017. The next prime is 31003310047. The reversal of 31003310034 is 43001330013.
It is a super-2 number, since 2×310033100342 (a number of 22 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 = 31003309989 and 31003310016.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1973599 + ... + 1989245.
It is an arithmetic number, because the mean of its divisors is an integer number (975282464).
Almost surely, 231003310034 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 31003310034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35110168704).
31003310034 is an abundant number, since it is smaller than the sum of its proper divisors (39217027374).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31003310034 is an equidigital number, since it uses as much as digits as its factorization.
31003310034 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15824 (or 15803 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 31003310034 its reverse (43001330013), we get a palindrome (74004640047).
The spelling of 31003310034 in words is "thirty-one billion, three million, three hundred ten thousand, thirty-four".
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