Base | Representation |
---|---|
bin | 111110100111010… |
… | …1011011111000100 |
3 | 12102102101212100201 |
4 | 1331032223133010 |
5 | 13300324001012 |
6 | 544251420244 |
7 | 103031130550 |
oct | 17516533704 |
9 | 5372355321 |
10 | 2101000132 |
11 | 988a61550 |
12 | 4a7754684 |
13 | 27637b15a |
14 | 15d06a860 |
15 | c46b3857 |
hex | 7d3ab7c4 |
2101000132 has 48 divisors (see below), whose sum is σ = 4596738048. Its totient is φ = 816297120.
The previous prime is 2101000093. The next prime is 2101000171. The reversal of 2101000132 is 2310001012.
It is an interprime number because it is at equal distance from previous prime (2101000093) and next prime (2101000171).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103743 + ... + 122329.
It is an arithmetic number, because the mean of its divisors is an integer number (95765376).
Almost surely, 22101000132 is an apocalyptic number.
2101000132 is a gapful number since it is divisible by the number (22) 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 2101000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2298369024).
2101000132 is an abundant number, since it is smaller than the sum of its proper divisors (2495737916).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2101000132 is a wasteful number, since it uses less digits than its factorization.
2101000132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18976 (or 18974 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 10.
The square root of 2101000132 is about 45836.6679853586. The cubic root of 2101000132 is about 1280.7824260883.
Adding to 2101000132 its reverse (2310001012), we get a palindrome (4411001144).
The spelling of 2101000132 in words is "two billion, one hundred one million, one hundred thirty-two", and thus it is an aban number.
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