Base | Representation |
---|---|
bin | 111110100111100… |
… | …1011001100010001 |
3 | 12102102122110111200 |
4 | 1331033023030101 |
5 | 13300342130001 |
6 | 544254301413 |
7 | 103032211305 |
oct | 17517131421 |
9 | 5372573450 |
10 | 2101130001 |
11 | 989040083 |
12 | 4a77b7869 |
13 | 2763c52b9 |
14 | 15d0a1d05 |
15 | c46dc086 |
hex | 7d3cb311 |
2101130001 has 6 divisors (see below), whose sum is σ = 3034965570. Its totient is φ = 1400753328.
The previous prime is 2101129999. The next prime is 2101130041. The reversal of 2101130001 is 1000311012.
It can be written as a sum of positive squares in only one way, i.e., 2081549376 + 19580625 = 45624^2 + 4425^2 .
It is not a de Polignac number, because 2101130001 - 21 = 2101129999 is a prime.
It is a super-2 number, since 2×21011300012 = 8829494562204520002, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 233458889 = 2101130001 / (2 + 1 + 0 + 1 + 1 + 3 + 0 + 0 + 0 + 1).
It is not an unprimeable number, because it can be changed into a prime (2101130041) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 116729436 + ... + 116729453.
It is an arithmetic number, because the mean of its divisors is an integer number (505827595).
Almost surely, 22101130001 is an apocalyptic number.
It is an amenable number.
2101130001 is a deficient number, since it is larger than the sum of its proper divisors (933835569).
2101130001 is a wasteful number, since it uses less digits than its factorization.
2101130001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 233458895 (or 233458892 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
The square root of 2101130001 is about 45838.0846131249. The cubic root of 2101130001 is about 1280.8088151880.
Adding to 2101130001 its reverse (1000311012), we get a palindrome (3101441013).
The spelling of 2101130001 in words is "two billion, one hundred one million, one hundred thirty thousand, one".
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