Base | Representation |
---|---|
bin | 11100000011111100… |
… | …110000111111100000 |
3 | 2212202212212000112100 |
4 | 130003330300333200 |
5 | 443202021011112 |
6 | 21501512330400 |
7 | 2114450355303 |
oct | 340374607740 |
9 | 85685760470 |
10 | 30131032032 |
11 | 11862200372 |
12 | 5a0a9a3a00 |
13 | 2ac258254a |
14 | 165b9d6b3a |
15 | bb53ad2dc |
hex | 703f30fe0 |
30131032032 has 144 divisors (see below), whose sum is σ = 87289190352. Its totient is φ = 9856788480.
The previous prime is 30131032031. The next prime is 30131032037. The reversal of 30131032032 is 23023013103.
30131032032 is a `hidden beast` number, since 3 + 0 + 1 + 310 + 320 + 32 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a zygodrome in base 2.
It is a junction number, because it is equal to n+sod(n) for n = 30131031996 and 30131032014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (30131032031) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5419398 + ... + 5424954.
It is an arithmetic number, because the mean of its divisors is an integer number (606174933).
Almost surely, 230131032032 is an apocalyptic number.
30131032032 is a gapful number since it is divisible by the number (32) 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 30131032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43644595176).
30131032032 is an abundant number, since it is smaller than the sum of its proper divisors (57158158320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30131032032 is a wasteful number, since it uses less digits than its factorization.
30131032032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5921 (or 5910 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 30131032032 its reverse (23023013103), we get a palindrome (53154045135).
The spelling of 30131032032 in words is "thirty billion, one hundred thirty-one million, thirty-two thousand, thirty-two".
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