Base | Representation |
---|---|
bin | 11111000000101111101… |
… | …100101101110110010100 |
3 | 21112201202022012122011121 |
4 | 133000233230231312110 |
5 | 234404000112430400 |
6 | 4311003215213324 |
7 | 306652513242043 |
oct | 37005754556624 |
9 | 7481668178147 |
10 | 2131104030100 |
11 | 751883738091 |
12 | 2a5032517244 |
13 | 125c6809b046 |
14 | 7520882655a |
15 | 3a67cc2121a |
hex | 1f02fb2dd94 |
2131104030100 has 144 divisors (see below), whose sum is σ = 4699242354240. Its totient is φ = 838794700800.
The previous prime is 2131104030073. The next prime is 2131104030137. The reversal of 2131104030100 is 10304011312.
It is a congruent number.
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 47 ways as a sum of consecutive naturals, for example, 1246988046 + ... + 1246989754.
It is an arithmetic number, because the mean of its divisors is an integer number (32633627460).
Almost surely, 22131104030100 is an apocalyptic number.
2131104030100 is a gapful number since it is divisible by the number (20) 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 2131104030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349621177120).
2131104030100 is an abundant number, since it is smaller than the sum of its proper divisors (2568138324140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2131104030100 is a wasteful number, since it uses less digits than its factorization.
2131104030100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2570 (or 2563 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 16.
Adding to 2131104030100 its reverse (10304011312), we get a palindrome (2141408041412).
The spelling of 2131104030100 in words is "two trillion, one hundred thirty-one billion, one hundred four million, thirty thousand, one hundred".
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