Base | Representation |
---|---|
bin | 11101110010010011010010… |
… | …010001011010111010000100 |
3 | 122011211110222100110121210012 |
4 | 131302103102101122322010 |
5 | 114132301030224410040 |
6 | 1142340325542045352 |
7 | 36410303605120064 |
oct | 3562232221327204 |
9 | 564743870417705 |
10 | 131000030310020 |
11 | 38816889a45523 |
12 | 12838825119858 |
13 | 5813332c03b41 |
14 | 244c6146553a4 |
15 | 10229287ea865 |
hex | 7724d245ae84 |
131000030310020 has 96 divisors (see below), whose sum is σ = 292008892492800. Its totient is φ = 49258302090624.
The previous prime is 131000030310001. The next prime is 131000030310041. The reversal of 131000030310020 is 20013030000131.
It is a super-3 number, since 3×1310000303100203 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 131000030309977 and 131000030310004.
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, 95585171 + ... + 96945989.
It is an arithmetic number, because the mean of its divisors is an integer number (3041759296800).
Almost surely, 2131000030310020 is an apocalyptic number.
131000030310020 is a gapful number since it is divisible by the number (10) 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 131000030310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146004446246400).
131000030310020 is an abundant number, since it is smaller than the sum of its proper divisors (161008862182780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131000030310020 is a wasteful number, since it uses less digits than its factorization.
131000030310020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1364457 (or 1364455 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 14.
Adding to 131000030310020 its reverse (20013030000131), we get a palindrome (151013060310151).
The spelling of 131000030310020 in words is "one hundred thirty-one trillion, thirty million, three hundred ten thousand, twenty".
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